122331152540957 has 2 divisors, whose sum is σ = 122331152540958. Its totient is φ = 122331152540956.

The previous prime is 122331152540929. The next prime is 122331152541061. The reversal of 122331152540957 is 759045251133221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117670989835876 + 4660162705081 = 10847626^2 + 2158741^2 .

It is a cyclic number.

It is not a de Polignac number, because 122331152540957 - 2²² = 122331148346653 is a prime.

It is a super-3 number, since 3×122331152540957³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122331152540357) 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, 61165576270478 + 61165576270479.

It is an arithmetic number, because the mean of its divisors is an integer number (61165576270479).

Almost surely, 2^{122331152540957} is an apocalyptic number.

It is an amenable number.

122331152540957 is a deficient number, since it is larger than the sum of its proper divisors (1).

122331152540957 is an equidigital number, since it uses as much as digits as its factorization.

122331152540957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268000, while the sum is 50.

The spelling of 122331152540957 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, one hundred fifty-two million, five hundred forty thousand, nine hundred fifty-seven".