12313202400 has 108 divisors (see below), whose sum is σ = 43419455352. Its totient is φ = 3283518720.

The previous prime is 12313202393. The next prime is 12313202413. The reversal of 12313202400 is 420231321.

12313202400 is a `hidden beast` number, since 1 + 231 + 32 + 0 + 2 + 400 = 666.

It is a super-2 number, since 2×12313202400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 847884 + ... + 862283.

It is an arithmetic number, because the mean of its divisors is an integer number (402031994).

Almost surely, 2^12313202400 is an apocalyptic number.

12313202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12313202400 is an abundant number, since it is smaller than the sum of its proper divisors (31106252952).

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

12313202400 is a wasteful number, since it uses less digits than its factorization.

12313202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710193 (or 1710177 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12313202400 its reverse (420231321), we get a palindrome (12733433721).

The spelling of 12313202400 in words is "twelve billion, three hundred thirteen million, two hundred two thousand, four hundred".