312132344012200 has 96 divisors (see below), whose sum is σ = 729842256079200. Its totient is φ = 124141769672960.

The previous prime is 312132344012183. The next prime is 312132344012213. The reversal of 312132344012200 is 2210443231213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327918159 + ... + 328868641.

It is an arithmetic number, because the mean of its divisors is an integer number (7602523500825).

Almost surely, 2^{312132344012200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312132344012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364921128039600).

312132344012200 is an abundant number, since it is smaller than the sum of its proper divisors (417709912067000).

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

312132344012200 is a wasteful number, since it uses less digits than its factorization.

312132344012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959851 (or 959842 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 312132344012200 its reverse (2210443231213), we get a palindrome (314342787243413).

The spelling of 312132344012200 in words is "three hundred twelve trillion, one hundred thirty-two billion, three hundred forty-four million, twelve thousand, two hundred".