312122211337 has 2 divisors, whose sum is σ = 312122211338. Its totient is φ = 312122211336.

The previous prime is 312122211307. The next prime is 312122211389. The reversal of 312122211337 is 733112221213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 175913975241 + 136208236096 = 419421^2 + 369064^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312122211337 is a prime.

It is not a weakly prime, because it can be changed into another prime (312122211307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156061105668 + 156061105669.

It is an arithmetic number, because the mean of its divisors is an integer number (156061105669).

Almost surely, 2^312122211337 is an apocalyptic number.

It is an amenable number.

312122211337 is a deficient number, since it is larger than the sum of its proper divisors (1).

312122211337 is an equidigital number, since it uses as much as digits as its factorization.

312122211337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3024, while the sum is 28.

The spelling of 312122211337 in words is "three hundred twelve billion, one hundred twenty-two million, two hundred eleven thousand, three hundred thirty-seven".