12313122301200 has 120 divisors (see below), whose sum is σ = 45077754436288. Its totient is φ = 2814427952640.

The previous prime is 12313122301171. The next prime is 12313122301243. The reversal of 12313122301200 is 210322131321.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×12313122301200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 732915547 + ... + 732932346.

Almost surely, 2^{12313122301200} is an apocalyptic number.

12313122301200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12313122301200 is an abundant number, since it is smaller than the sum of its proper divisors (32764632135088).

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

12313122301200 is a wasteful number, since it uses less digits than its factorization.

12313122301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465847921 (or 1465847910 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12313122301200 its reverse (210322131321), we get a palindrome (12523444432521).

The spelling of 12313122301200 in words is "twelve trillion, three hundred thirteen billion, one hundred twenty-two million, three hundred one thousand, two hundred".