122904562130289 has 9 divisors (see below), whose sum is σ = 177528860006329. Its totient is φ = 81936352581060.

The previous prime is 122904562130267. The next prime is 122904562130293. The reversal of 122904562130289 is 982031265409221.

The square root of 122904562130289 is 11086233.

It is a perfect power (a square), and thus also a powerful number.

122904562130289 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 0 + 4 + 5 + 621 + 3 + 0 + 2 + 8 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-122904562130289 is a prime.

It is a super-2 number, since 2×122904562130289² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122904562130249) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31410994 + ... + 35106404.

Almost surely, 2^{122904562130289} is an apocalyptic number.

122904562130289 is the 11086233-rd square number.

122904562130289 is the 5543117-th centered octagonal number.

It is an amenable number.

122904562130289 is a deficient number, since it is larger than the sum of its proper divisors (54624297876040).

122904562130289 is an frugal number, since it uses more digits than its factorization.

122904562130289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7390828 (or 3695414 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 122904562130289 in words is "one hundred twenty-two trillion, nine hundred four billion, five hundred sixty-two million, one hundred thirty thousand, two hundred eighty-nine".