12500949888000 has 2816 divisors, whose sum is σ = 55458516172800. Its totient is φ = 2717245440000.

The previous prime is 12500949887999. The next prime is 12500949888017. The reversal of 12500949888000 is 88894900521.

12500949888000 is a `hidden beast` number, since 12 + 500 + 9 + 49 + 8 + 8 + 80 + 0 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 59246207895 + ... + 59246208105.

Almost surely, 2^{12500949888000} is an apocalyptic number.

12500949888000 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 12500949888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27729258086400).

12500949888000 is an abundant number, since it is smaller than the sum of its proper divisors (42957566284800).

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

12500949888000 is a wasteful number, since it uses less digits than its factorization.

12500949888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 12500949888000 in words is "twelve trillion, five hundred billion, nine hundred forty-nine million, eight hundred eighty-eight thousand".