312311020331200 has 168 divisors, whose sum is σ = 874791810097920. Its totient is φ = 108629919974400.

The previous prime is 312311020331137. The next prime is 312311020331201. The reversal of 312311020331200 is 2133020113213.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (312311020331201) 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, 385354860 + ... + 386164459.

Almost surely, 2^{312311020331200} is an apocalyptic number.

It is an amenable number.

312311020331200 is an abundant number, since it is smaller than the sum of its proper divisors (562480789766720).

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

312311020331200 is a wasteful number, since it uses less digits than its factorization.

312311020331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771519375 (or 771519360 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 312311020331200 its reverse (2133020113213), we get a palindrome (314444040444413).

The spelling of 312311020331200 in words is "three hundred twelve trillion, three hundred eleven billion, twenty million, three hundred thirty-one thousand, two hundred".