122971552929 has 27 divisors (see below), whose sum is σ = 182127456147. Its totient is φ = 79953444000.

The previous prime is 122971552919. The next prime is 122971552967. The reversal of 122971552929 is 929255179221.

The square root of 122971552929 is 350673.

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

122971552929 is a `hidden beast` number, since 1 + 2 + 2 + 97 + 1 + 5 + 529 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5925458529 + 117046094400 = 76977^2 + 342120^2 .

It is not a de Polignac number, because 122971552929 - 2¹³ = 122971544737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122971552919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43131354 + ... + 43134204.

Almost surely, 2^122971552929 is an apocalyptic number.

122971552929 is the 350673-rd square number.

122971552929 is the 175337-th centered octagonal number.

It is an amenable number.

122971552929 is a deficient number, since it is larger than the sum of its proper divisors (59155903218).

122971552929 is an frugal number, since it uses more digits than its factorization.

122971552929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 2895 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 54.

The spelling of 122971552929 in words is "one hundred twenty-two billion, nine hundred seventy-one million, five hundred fifty-two thousand, nine hundred twenty-nine".