12977994502512 has 960 divisors, whose sum is σ = 44877356998656. Its totient is φ = 3596125040640.

The previous prime is 12977994502471. The next prime is 12977994502513. The reversal of 12977994502512 is 21520549977921.

12977994502512 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 79 + 9 + 4 + 502 + 51 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12977994502512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12977994502513) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1333396398 + ... + 1333406130.

Almost surely, 2^{12977994502512} is an apocalyptic number.

12977994502512 is a gapful number since it is divisible by the number (12) 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 12977994502512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22438678499328).

12977994502512 is an abundant number, since it is smaller than the sum of its proper divisors (31899362496144).

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

12977994502512 is a wasteful number, since it uses less digits than its factorization.

12977994502512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9860 (or 9842 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 12977994502512 in words is "twelve trillion, nine hundred seventy-seven billion, nine hundred ninety-four million, five hundred two thousand, five hundred twelve".