12388970176128 has 320 divisors, whose sum is σ = 45377695144320. Its totient is φ = 3267420456960.

The previous prime is 12388970176117. The next prime is 12388970176153. The reversal of 12388970176128 is 82167107988321.

12388970176128 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 8 + 9 + 7 + 0 + 1 + 7 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5622028 + ... + 7509003.

It is an arithmetic number, because the mean of its divisors is an integer number (141805297326).

Almost surely, 2^{12388970176128} is an apocalyptic number.

12388970176128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12388970176128 is an abundant number, since it is smaller than the sum of its proper divisors (32988724968192).

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

12388970176128 is a wasteful number, since it uses less digits than its factorization.

12388970176128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13131077 (or 13131056 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 63.

The spelling of 12388970176128 in words is "twelve trillion, three hundred eighty-eight billion, nine hundred seventy million, one hundred seventy-six thousand, one hundred twenty-eight".