312202134144032 has 48 divisors (see below), whose sum is σ = 670531894804800. Its totient is φ = 141908609821440.

The previous prime is 312202134144031. The next prime is 312202134144077. The reversal of 312202134144032 is 230441431202213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 312202134144032.

It is not an unprimeable number, because it can be changed into a prime (312202134144031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30316469 + ... + 39287307.

It is an arithmetic number, because the mean of its divisors is an integer number (13969414475100).

Almost surely, 2^{312202134144032} is an apocalyptic number.

312202134144032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312202134144032 is an abundant number, since it is smaller than the sum of its proper divisors (358329760660768).

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

312202134144032 is a wasteful number, since it uses less digits than its factorization.

312202134144032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9069729 (or 9069721 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 312202134144032 its reverse (230441431202213), we get a palindrome (542643565346245).

The spelling of 312202134144032 in words is "three hundred twelve trillion, two hundred two billion, one hundred thirty-four million, one hundred forty-four thousand, thirty-two".