312124240343857 has 2 divisors, whose sum is σ = 312124240343858. Its totient is φ = 312124240343856.

The previous prime is 312124240343777. The next prime is 312124240343897. The reversal of 312124240343857 is 758343042421213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167361208217856 + 144763032126001 = 12936816^2 + 12031751^2 .

It is an emirp because it is prime and its reverse (758343042421213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312124240343857 - 2¹⁵ = 312124240311089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312124240343857.

It is not a weakly prime, because it can be changed into another prime (312124240343897) 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, 156062120171928 + 156062120171929.

It is an arithmetic number, because the mean of its divisors is an integer number (156062120171929).

Almost surely, 2^{312124240343857} is an apocalyptic number.

It is an amenable number.

312124240343857 is a deficient number, since it is larger than the sum of its proper divisors (1).

312124240343857 is an equidigital number, since it uses as much as digits as its factorization.

312124240343857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3870720, while the sum is 49.

The spelling of 312124240343857 in words is "three hundred twelve trillion, one hundred twenty-four billion, two hundred forty million, three hundred forty-three thousand, eight hundred fifty-seven".