312400331301123 has 24 divisors (see below), whose sum is σ = 492800522628960. Its totient is φ = 189538662539520.

The previous prime is 312400331301029. The next prime is 312400331301133. The reversal of 312400331301123 is 321103133004213.

312400331301123 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 0 + 0 + 331 + 301 + 1 + 23 = 666.

It is not a de Polignac number, because 312400331301123 - 2⁸ = 312400331300867 is a prime.

It is a super-2 number, since 2×312400331301123² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312400331301133) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18803430438 + ... + 18803447051.

It is an arithmetic number, because the mean of its divisors is an integer number (20533355109540).

Almost surely, 2^{312400331301123} is an apocalyptic number.

312400331301123 is a deficient number, since it is larger than the sum of its proper divisors (180400191327837).

312400331301123 is a wasteful number, since it uses less digits than its factorization.

312400331301123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37606877579 (or 37606877576 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 312400331301123 its reverse (321103133004213), we get a palindrome (633503464305336).

The spelling of 312400331301123 in words is "three hundred twelve trillion, four hundred billion, three hundred thirty-one million, three hundred one thousand, one hundred twenty-three".