312132120029921 has 2 divisors, whose sum is σ = 312132120029922. Its totient is φ = 312132120029920.

The previous prime is 312132120029881. The next prime is 312132120029969. The reversal of 312132120029921 is 129920021231213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 304360648024225 + 7771472005696 = 17445935^2 + 2787736^2 .

It is an emirp because it is prime and its reverse (129920021231213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312132120029921 - 2⁶ = 312132120029857 is a prime.

It is not a weakly prime, because it can be changed into another prime (312132120028921) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066060014960 + 156066060014961.

It is an arithmetic number, because the mean of its divisors is an integer number (156066060014961).

Almost surely, 2^{312132120029921} is an apocalyptic number.

It is an amenable number.

312132120029921 is a deficient number, since it is larger than the sum of its proper divisors (1).

312132120029921 is an equidigital number, since it uses as much as digits as its factorization.

312132120029921 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 38.

The spelling of 312132120029921 in words is "three hundred twelve trillion, one hundred thirty-two billion, one hundred twenty million, twenty-nine thousand, nine hundred twenty-one".