12912660633600 has 1296 divisors, whose sum is σ = 57934271500560. Its totient is φ = 2724367564800.

The previous prime is 12912660633599. The next prime is 12912660633611. The reversal of 12912660633600 is 633606621921.

12912660633600 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 2 + 6 + 6 + 0 + 6 + 33 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 293507605 + ... + 293551595.

It is an arithmetic number, because the mean of its divisors is an integer number (44702369985).

Almost surely, 2^{12912660633600} is an apocalyptic number.

12912660633600 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 12912660633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28967135750280).

12912660633600 is an abundant number, since it is smaller than the sum of its proper divisors (45021610866960).

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

12912660633600 is a wasteful number, since it uses less digits than its factorization.

12912660633600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44056 (or 44021 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 12912660633600 in words is "twelve trillion, nine hundred twelve billion, six hundred sixty million, six hundred thirty-three thousand, six hundred".