122585757697 has 12 divisors (see below), whose sum is σ = 137318065020. Its totient is φ = 109254145728.

The previous prime is 122585757647. The next prime is 122585757703. The reversal of 122585757697 is 796757585221.

It can be written as a sum of positive squares in 6 ways, for example, as 191434896 + 122394322801 = 13836^2 + 349849^2 .

It is not a de Polignac number, because 122585757697 - 2¹⁵ = 122585724929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122585757617) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12501298 + ... + 12511099.

It is an arithmetic number, because the mean of its divisors is an integer number (11443172085).

Almost surely, 2^122585757697 is an apocalyptic number.

It is an amenable number.

122585757697 is a deficient number, since it is larger than the sum of its proper divisors (14732307323).

122585757697 is a wasteful number, since it uses less digits than its factorization.

122585757697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25012452 (or 25012439 counting only the distinct ones).

The product of its digits is 74088000, while the sum is 64.

The spelling of 122585757697 in words is "one hundred twenty-two billion, five hundred eighty-five million, seven hundred fifty-seven thousand, six hundred ninety-seven".