312132120029969 has 2 divisors, whose sum is σ = 312132120029970. Its totient is φ = 312132120029968.

The previous prime is 312132120029921. The next prime is 312132120030043. The reversal of 312132120029969 is 969920021231213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310226927827600 + 1905192202369 = 17613260^2 + 1380287^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312132120029969 is a prime.

It is a super-2 number, since 2×312132120029969² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312132120029869) 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 as a sum of consecutive naturals, namely, 156066060014984 + 156066060014985.

It is an arithmetic number, because the mean of its divisors is an integer number (156066060014985).

Almost surely, 2^{312132120029969} is an apocalyptic number.

It is an amenable number.

312132120029969 is a deficient number, since it is larger than the sum of its proper divisors (1).

312132120029969 is an equidigital number, since it uses as much as digits as its factorization.

312132120029969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 629856, while the sum is 50.

The spelling of 312132120029969 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred twenty million, twenty-nine thousand, nine hundred sixty-nine".