12456568800 has 1008 divisors, whose sum is σ = 51640944768. Its totient is φ = 2911334400.

The previous prime is 12456568759. The next prime is 12456568807. The reversal of 12456568800 is 886565421.

12456568800 is a `hidden beast` number, since 1 + 2 + 4 + 5 + 6 + 568 + 80 + 0 = 666.

12456568800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12456568800² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12456568807) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 235029574 + ... + 235029626.

It is an arithmetic number, because the mean of its divisors is an integer number (51231096).

Almost surely, 2^12456568800 is an apocalyptic number.

12456568800 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 12456568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25820472384).

12456568800 is an abundant number, since it is smaller than the sum of its proper divisors (39184375968).

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

12456568800 is a wasteful number, since it uses less digits than its factorization.

12456568800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 12456568800 in words is "twelve billion, four hundred fifty-six million, five hundred sixty-eight thousand, eight hundred".