120592813271057 has 2 divisors, whose sum is σ = 120592813271058. Its totient is φ = 120592813271056.

The previous prime is 120592813271033. The next prime is 120592813271081. The reversal of 120592813271057 is 750172318295021.

It is a balanced prime because it is at equal distance from previous prime (120592813271033) and next prime (120592813271081).

It can be written as a sum of positive squares in only one way, i.e., 116083471833616 + 4509341437441 = 10774204^2 + 2123521^2 .

It is a cyclic number.

It is not a de Polignac number, because 120592813271057 - 2¹⁴ = 120592813254673 is a prime.

It is a super-2 number, since 2×120592813271057² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (120592813271027) 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, 60296406635528 + 60296406635529.

It is an arithmetic number, because the mean of its divisors is an integer number (60296406635529).

Almost surely, 2^{120592813271057} is an apocalyptic number.

It is an amenable number.

120592813271057 is a deficient number, since it is larger than the sum of its proper divisors (1).

120592813271057 is an equidigital number, since it uses as much as digits as its factorization.

120592813271057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2116800, while the sum is 53.

The spelling of 120592813271057 in words is "one hundred twenty trillion, five hundred ninety-two billion, eight hundred thirteen million, two hundred seventy-one thousand, fifty-seven".