12688612416000 has 1120 divisors, whose sum is σ = 47623490044416. Its totient is φ = 3370429440000.

The previous prime is 12688612415993. The next prime is 12688612416019. The reversal of 12688612416000 is 61421688621.

It is a happy number.

12688612416000 is a `hidden beast` number, since 1 + 26 + 8 + 8 + 6 + 12 + 4 + 1 + 600 + 0 = 666.

It is a super-2 number, since 2×12688612416000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20108735685 + ... + 20108736315.

Almost surely, 2^{12688612416000} is an apocalyptic number.

12688612416000 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 12688612416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23811745022208).

12688612416000 is an abundant number, since it is smaller than the sum of its proper divisors (34934877628416).

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

12688612416000 is an frugal number, since it uses more digits than its factorization.

12688612416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12688612416000 in words is "twelve trillion, six hundred eighty-eight billion, six hundred twelve million, four hundred sixteen thousand".