312000413100999 has 64 divisors (see below), whose sum is σ = 484596108767232. Its totient is φ = 174872381587200.

The previous prime is 312000413100979. The next prime is 312000413101019. The reversal of 312000413100999 is 999001314000213.

It is an interprime number because it is at equal distance from previous prime (312000413100979) and next prime (312000413101019).

It is not a de Polignac number, because 312000413100999 - 2¹² = 312000413096903 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312000413100999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312000413100979) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 419050539 + ... + 419794419.

It is an arithmetic number, because the mean of its divisors is an integer number (7571814199488).

Almost surely, 2^{312000413100999} is an apocalyptic number.

312000413100999 is a deficient number, since it is larger than the sum of its proper divisors (172595695666233).

312000413100999 is a wasteful number, since it uses less digits than its factorization.

312000413100999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745236.

The product of its (nonzero) digits is 52488, while the sum is 42.

The spelling of 312000413100999 in words is "three hundred twelve trillion, four hundred thirteen million, one hundred thousand, nine hundred ninety-nine".