312242240214200 has 48 divisors (see below), whose sum is σ = 725985975809880. Its totient is φ = 124892979128960.

The previous prime is 312242240214187. The next prime is 312242240214227. The reversal of 312242240214200 is 2412042242213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18083627 + ... + 30846426.

Almost surely, 2^{312242240214200} is an apocalyptic number.

It is an amenable number.

312242240214200 is an abundant number, since it is smaller than the sum of its proper divisors (413743735595680).

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

312242240214200 is a wasteful number, since it uses less digits than its factorization.

312242240214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48961976 (or 48961967 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 312242240214200 its reverse (2412042242213), we get a palindrome (314654282456413).

The spelling of 312242240214200 in words is "three hundred twelve trillion, two hundred forty-two billion, two hundred forty million, two hundred fourteen thousand, two hundred".