12315364200 has 96 divisors (see below), whose sum is σ = 42419606400. Its totient is φ = 3284095680.

The previous prime is 12315364181. The next prime is 12315364223. The reversal of 12315364200 is 246351321.

12315364200 is a `hidden beast` number, since 1 + 2 + 3 + 15 + 3 + 642 + 0 + 0 = 666.

12315364200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 23 ways as a sum of consecutive naturals, for example, 1134912 + ... + 1145711.

It is an arithmetic number, because the mean of its divisors is an integer number (441870900).

Almost surely, 2^12315364200 is an apocalyptic number.

12315364200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12315364200 is an abundant number, since it is smaller than the sum of its proper divisors (30104242200).

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

12315364200 is a wasteful number, since it uses less digits than its factorization.

12315364200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280648 (or 2280633 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 12315364200 in words is "twelve billion, three hundred fifteen million, three hundred sixty-four thousand, two hundred".