312012120132200 has 48 divisors (see below), whose sum is σ = 732610636575660. Its totient is φ = 123569156480000.

The previous prime is 312012120132199. The next prime is 312012120132289. The reversal of 312012120132200 is 2231021210213.

It can be written as a sum of positive squares in 6 ways, for example, as 264903032808964 + 47109087323236 = 16275842^2 + 6863606^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7723052081 + ... + 7723092480.

Almost surely, 2^{312012120132200} is an apocalyptic number.

It is an amenable number.

312012120132200 is an abundant number, since it is smaller than the sum of its proper divisors (420598516443460).

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

312012120132200 is a wasteful number, since it uses less digits than its factorization.

312012120132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15446144678 (or 15446144669 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 312012120132200 its reverse (2231021210213), we get a palindrome (314243141342413).

The spelling of 312012120132200 in words is "three hundred twelve trillion, twelve billion, one hundred twenty million, one hundred thirty-two thousand, two hundred".