312141404032299 has 64 divisors (see below), whose sum is σ = 479619435724800. Its totient is φ = 200424142432800.

The previous prime is 312141404032279. The next prime is 312141404032313. The reversal of 312141404032299 is 992230404141213.

312141404032299 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 4 + 14 + 0 + 403 + 229 + 9 = 666.

It is not a de Polignac number, because 312141404032299 - 2¹⁷ = 312141403901227 is a prime.

It is a super-2 number, since 2×312141404032299² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312141404032279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 693930234 + ... + 694379904.

It is an arithmetic number, because the mean of its divisors is an integer number (7494053683200).

Almost surely, 2^{312141404032299} is an apocalyptic number.

312141404032299 is a deficient number, since it is larger than the sum of its proper divisors (167478031692501).

312141404032299 is a wasteful number, since it uses less digits than its factorization.

312141404032299 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453653 (or 453647 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 312141404032299 in words is "three hundred twelve trillion, one hundred forty-one billion, four hundred four million, thirty-two thousand, two hundred ninety-nine".