312122100032 has 28 divisors (see below), whose sum is σ = 626326486740. Its totient is φ = 154307552256.

The previous prime is 312122100023. The next prime is 312122100041. The reversal of 312122100032 is 230001221213.

It is an interprime number because it is at equal distance from previous prime (312122100023) and next prime (312122100041).

It can be written as a sum of positive squares in 2 ways, for example, as 34156953856 + 277965146176 = 184816^2 + 527224^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27392663 + ... + 27404054.

Almost surely, 2^312122100032 is an apocalyptic number.

312122100032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312122100032 is an abundant number, since it is smaller than the sum of its proper divisors (314204386708).

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

312122100032 is an equidigital number, since it uses as much as digits as its factorization.

312122100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54796818 (or 54796808 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 312122100032 its reverse (230001221213), we get a palindrome (542123321245).

The spelling of 312122100032 in words is "three hundred twelve billion, one hundred twenty-two million, one hundred thousand, thirty-two".