122288763480625 has 135 divisors (see below), whose sum is σ = 184186527371847. Its totient is φ = 80926438824000.

The previous prime is 122288763480623. The next prime is 122288763480701. The reversal of 122288763480625 is 526084367882221.

The square root of 122288763480625 is 11058425.

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

It can be written as a sum of positive squares in 7 ways, for example, as 91463037904161 + 30825725576464 = 9563631^2 + 5552092^2 .

It is not a de Polignac number, because 122288763480625 - 2¹ = 122288763480623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122288763480623) 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 in 134 ways as a sum of consecutive naturals, for example, 56121505786 + ... + 56121507964.

Almost surely, 2^{122288763480625} is an apocalyptic number.

122288763480625 is the 11058425-th square number.

122288763480625 is the 5529213-rd centered octagonal number.

It is an amenable number.

122288763480625 is a deficient number, since it is larger than the sum of its proper divisors (61897763891222).

122288763480625 is an frugal number, since it uses more digits than its factorization.

122288763480625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 64.

The spelling of 122288763480625 in words is "one hundred twenty-two trillion, two hundred eighty-eight billion, seven hundred sixty-three million, four hundred eighty thousand, six hundred twenty-five".