312332313000123 has 60 divisors (see below), whose sum is σ = 505250652660600. Its totient is φ = 192193334371584.

The previous prime is 312332313000049. The next prime is 312332313000131. The reversal of 312332313000123 is 321000313233213.

312332313000123 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 3 + 231 + 300 + 0 + 123 = 666.

It is not a de Polignac number, because 312332313000123 - 2²⁸ = 312332044564667 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (312332313000143) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 238123203 + ... + 239431251.

It is an arithmetic number, because the mean of its divisors is an integer number (8420844211010).

Almost surely, 2^{312332313000123} is an apocalyptic number.

312332313000123 is a deficient number, since it is larger than the sum of its proper divisors (192918339660477).

312332313000123 is a wasteful number, since it uses less digits than its factorization.

312332313000123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325530 (or 1325508 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 312332313000123 its reverse (321000313233213), we get a palindrome (633332626233336).

The spelling of 312332313000123 in words is "three hundred twelve trillion, three hundred thirty-two billion, three hundred thirteen million, one hundred twenty-three", and thus it is an aban number.