Zodiac 12

In an alternative version of the Greek world, the civilians there also used a calendar with 12 months like the present day one except that the numericals were written in base-12. Therefore, they invented 2 special symbols, denoted as \(A\) for 10 and \(B\) for 11, respectively.

If January 1 year 0 is the day of their first century, which month will it be after \(1,3A7,59B_{12}\) months have passed? (Use decimal 1-12 for January to December respectively.) ![]

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