12397568400 has 1080 divisors, whose sum is σ = 55031165280. Its totient is φ = 2664990720.

The previous prime is 12397568389. The next prime is 12397568467. The reversal of 12397568400 is 486579321.

12397568400 is a `hidden beast` number, since 1 + 239 + 7 + 5 + 6 + 8 + 400 = 666.

12397568400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 215 ways as a sum of consecutive naturals, for example, 90493132 + ... + 90493268.

It is a 2-persistent number, because it is pandigital, and so is 2⋅12397568400 = 24795136800, but 3⋅12397568400 = 37192705200 is not.

Almost surely, 2^12397568400 is an apocalyptic number.

12397568400 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 12397568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27515582640).

12397568400 is an abundant number, since it is smaller than the sum of its proper divisors (42633596880).

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

12397568400 is a wasteful number, since it uses less digits than its factorization.

12397568400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12397568400 in words is "twelve billion, three hundred ninety-seven million, five hundred sixty-eight thousand, four hundred".