12508286976000 has 1792 divisors, whose sum is σ = 48272724489600. Its totient is φ = 3232825344000.

The previous prime is 12508286975999. The next prime is 12508286976047. The reversal of 12508286976000 is 67968280521.

12508286976000 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 8 + 28 + 6 + 9 + 7 + 600 + 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 111 ways as a sum of consecutive naturals, for example, 176173055965 + ... + 176173056035.

Almost surely, 2^{12508286976000} is an apocalyptic number.

12508286976000 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 12508286976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24136362244800).

12508286976000 is an abundant number, since it is smaller than the sum of its proper divisors (35764437513600).

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

12508286976000 is an frugal number, since it uses more digits than its factorization.

12508286976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 12508286976000 in words is "twelve trillion, five hundred eight billion, two hundred eighty-six million, nine hundred seventy-six thousand".