12996513504 has 240 divisors, whose sum is σ = 41500343808. Its totient is φ = 3966133248.

The previous prime is 12996513503. The next prime is 12996513511. The reversal of 12996513504 is 40531569921.

12996513504 is a `hidden beast` number, since 1 + 2 + 9 + 96 + 51 + 3 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12996513504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12996513503) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4277874 + ... + 4280910.

Almost surely, 2^12996513504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12996513504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20750171904).

12996513504 is an abundant number, since it is smaller than the sum of its proper divisors (28503830304).

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

12996513504 is a wasteful number, since it uses less digits than its factorization.

12996513504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3182 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 12996513504 in words is "twelve billion, nine hundred ninety-six million, five hundred thirteen thousand, five hundred four".