312420101024249 has 2 divisors, whose sum is σ = 312420101024250. Its totient is φ = 312420101024248.

The previous prime is 312420101024209. The next prime is 312420101024261. The reversal of 312420101024249 is 942420101024213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312359919121849 + 60181902400 = 17673707^2 + 245320^2 .

It is a cyclic number.

It is not a de Polignac number, because 312420101024249 - 2²⁸ = 312419832588793 is a prime.

It is a super-4 number, since 4×312420101024249⁴ (a number of 59 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (312420101024209) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156210050512124 + 156210050512125.

It is an arithmetic number, because the mean of its divisors is an integer number (156210050512125).

Almost surely, 2^{312420101024249} is an apocalyptic number.

It is an amenable number.

312420101024249 is a deficient number, since it is larger than the sum of its proper divisors (1).

312420101024249 is an equidigital number, since it uses as much as digits as its factorization.

312420101024249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 312420101024249 in words is "three hundred twelve trillion, four hundred twenty billion, one hundred one million, twenty-four thousand, two hundred forty-nine".