12504868992 has 640 divisors, whose sum is σ = 47312251200. Its totient is φ = 3224309760.

The previous prime is 12504868973. The next prime is 12504869009. The reversal of 12504868992 is 29986840521.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91276348 + ... + 91276484.

Almost surely, 2^12504868992 is an apocalyptic number.

12504868992 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 12504868992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23656125600).

12504868992 is an abundant number, since it is smaller than the sum of its proper divisors (34807382208).

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

12504868992 is an equidigital number, since it uses as much as digits as its factorization.

12504868992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 12504868992 in words is "twelve billion, five hundred four million, eight hundred sixty-eight thousand, nine hundred ninety-two".