12685612800 has 432 divisors, whose sum is σ = 49158298112. Its totient is φ = 2820096000.

The previous prime is 12685612799. The next prime is 12685612817. The reversal of 12685612800 is 821658621.

It is a super-2 number, since 2×12685612800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4971525 + ... + 4974075.

Almost surely, 2^12685612800 is an apocalyptic number.

12685612800 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 12685612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24579149056).

12685612800 is an abundant number, since it is smaller than the sum of its proper divisors (36472685312).

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

12685612800 is a wasteful number, since it uses less digits than its factorization.

12685612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

It can be divided in two parts, 126856 and 12800, that added together give a triangular number (139656 = T₅₂₈).

The spelling of 12685612800 in words is "twelve billion, six hundred eighty-five million, six hundred twelve thousand, eight hundred".