12959938206720 has 528 divisors, whose sum is σ = 49020118842240. Its totient is φ = 3274083680256.

The previous prime is 12959938206713. The next prime is 12959938206731. The reversal of 12959938206720 is 2760283995921.

12959938206720 is a `hidden beast` number, since 1 + 2 + 9 + 599 + 38 + 2 + 0 + 6 + 7 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23364919 + ... + 23913161.

Almost surely, 2^{12959938206720} is an apocalyptic number.

12959938206720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12959938206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24510059421120).

12959938206720 is an abundant number, since it is smaller than the sum of its proper divisors (36060180635520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12959938206720 is an equidigital number, since it uses as much as digits as its factorization.

12959938206720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548302 (or 548272 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 12959938206720 in words is "twelve trillion, nine hundred fifty-nine billion, nine hundred thirty-eight million, two hundred six thousand, seven hundred twenty".