312413131421200 has 30 divisors (see below), whose sum is σ = 750572548240394. Its totient is φ = 124965252568320.

The previous prime is 312413131421147. The next prime is 312413131421341. The reversal of 312413131421200 is 2124131314213.

It can be written as a sum of positive squares in 3 ways, for example, as 95196941499664 + 217216189921536 = 9756892^2 + 14738256^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 390516413877 + ... + 390516414676.

Almost surely, 2^{312413131421200} is an apocalyptic number.

It is an amenable number.

312413131421200 is an abundant number, since it is smaller than the sum of its proper divisors (438159416819194).

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

312413131421200 is a wasteful number, since it uses less digits than its factorization.

312413131421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781032828571 (or 781032828560 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 312413131421200 its reverse (2124131314213), we get a palindrome (314537262735413).

The spelling of 312413131421200 in words is "three hundred twelve trillion, four hundred thirteen billion, one hundred thirty-one million, four hundred twenty-one thousand, two hundred".