בַּבֶל Babylon
Every verse in which this name stands — 4 places, in canonical order, first appearance to last. These are the occurrences our own corpus tags as this name, counting every form the text writes it in, which is the number on the list.
Including Babylonia and the Babylonian empire. The name stands four times in the Tanakh, first at Ezra 5:12 and last at Ezra 6:5.
לָהֵן מִן־דִּי הַרְגִּזוּ אֲבָהֳתַנָא לֶאֱלָהּ שְׁמַיָּא יְהַב הִמּוֹ בְּיַד נְבוּכַדְנֶצַּר מֶֽלֶךְ־בָּבֶל כסדיא וּבַיְתָה דְנָה סַתְרֵהּ וְעַמָּה הַגְלִי לְבָבֶֽל
But because that our fathers had provoked the God of heaven, He gave them into the hand of Nebuchadnezzar king of Babylon, the Chaldean, who destroyed this house, and carried the people away into Babylon.
וּכְעַן הֵן עַל־מַלְכָּא טָב יִתְבַּקַּר בְּבֵית גִּנְזַיָּא דִּי־מַלְכָּא תַמָּה דִּי בְּבָבֶל הֵן אִיתַי דִּֽי־מִן־כּוֹרֶשׁ מַלְכָּא שִׂים טְעֵם לְמִבְנֵא בֵּית־אֱלָהָא דֵךְ בִּירוּשְׁלֶם וּרְעוּת מַלְכָּא עַל־דְּנָה יִשְׁלַח עֲלֶֽינָא
Now therefore, if it seem good to the king, let search be made in the king’s treasure-house there, which is at Babylon, whether it be so, that a decree was made of Cyrus the king to build this house of God at Jerusalem, and let the king send his pleasure to us concerning this matter.’
בֵּאדַיִן דָּרְיָוֶשׁ מַלְכָּא שָׂם טְעֵם וּבַקַּרוּ בְּבֵית סִפְרַיָּא דִּי גִנְזַיָּא מְהַחֲתִין תַּמָּה בְּבָבֶֽל
Then Darius the king made a decree, and search was made in the house of the archives, where the treasures were laid up, in Babylon.
וְאַף מָאנֵי בֵית־אֱלָהָא דִּי דַהֲבָה וְכַסְפָּא דִּי נְבֽוּכַדְנֶצַּר הַנְפֵּק מִן־הֵיכְלָא דִי־בִירוּשְׁלֶם וְהֵיבֵל לְבָבֶל יַהֲתִיבוּן וִיהָךְ לְהֵיכְלָא דִי־בִירֽוּשְׁלֶם לְאַתְרֵהּ וְתַחֵת בְּבֵית אֱלָהָֽא
and also let the gold and silver vessels of the house of God, which Nebuchadnezzar took forth out of the temple which is at Jerusalem, and brought unto Babylon, be restored, and brought back unto the temple which is at Jerusalem, every one to its place, and thou shalt put them in the house of God.’
Quick answers
What is the gematria of Babylon?
Babylon — בבל in Hebrew — has a gematria of 34 in the standard method.
How many times is Babylon named in the Tanakh?
4 times, first at Ezra 5:12.
A spelling is not a name. The written word לבבל stands 10 times in the corpus, which is a different question and often a different number: the same letters can spell another name or an ordinary word, and a name written with a particle attached is a word that search never returns. It is here, as itself.
Search the spelling לבבל →