Any typical Japanese that includes a minimal number of glyphs for kanji should suffice for this purpose. Here are the main number characters: 零〇一二三四五六七八九十百千万億兆.

Thank you for that, I can make out the first few, but the rest is a wild guess.
Is there somewhere I can find a more elaborate explanation?
I'm required to use it for numbering in a magazine...

The first two represent zero (the first is the official kanji, and the second is an alternate form). The next ten are one through ten, followed by 100, 1,000, 10,000, 100,000,000, and 1,000,000,000,000. This Wikipedia page may help.

Thanks so much! That helped great deal.