12207056400 has 1080 divisors, whose sum is σ = 55988229024. Its totient is φ = 2525644800.

The previous prime is 12207056371. The next prime is 12207056401. The reversal of 12207056400 is 465070221.

12207056400 is a `hidden beast` number, since 1 + 2 + 207 + 0 + 56 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12207056401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 52390684 + ... + 52390916.

Almost surely, 2^12207056400 is an apocalyptic number.

12207056400 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 12207056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27994114512).

12207056400 is an abundant number, since it is smaller than the sum of its proper divisors (43781172624).

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

12207056400 is a wasteful number, since it uses less digits than its factorization.

12207056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 12207056400 in words is "twelve billion, two hundred seven million, fifty-six thousand, four hundred".