12608942976000 has 5632 divisors, whose sum is σ = 62155393597440. Its totient is φ = 2452488192000.

The previous prime is 12608942975999. The next prime is 12608942976037. The reversal of 12608942976000 is 67924980621.

12608942976000 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 8 + 9 + 4 + 29 + 7 + 600 + 0 = 666.

12608942976000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 293231231979 + ... + 293231232021.

It is an arithmetic number, because the mean of its divisors is an integer number (11036113920).

Almost surely, 2^{12608942976000} is an apocalyptic number.

12608942976000 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 12608942976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31077696798720).

12608942976000 is an abundant number, since it is smaller than the sum of its proper divisors (49546450621440).

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

12608942976000 is a wasteful number, since it uses less digits than its factorization.

12608942976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 12608942976000 in words is "twelve trillion, six hundred eight billion, nine hundred forty-two million, nine hundred seventy-six thousand".