122272605625 has 45 divisors (see below), whose sum is σ = 155764819771. Its totient is φ = 95950820000.

The previous prime is 122272605601. The next prime is 122272605677. The reversal of 122272605625 is 526506272221.

It is a happy number.

The square root of 122272605625 is 349675.

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 20916969129 + 101355636496 = 144627^2 + 318364^2 .

It is not a de Polignac number, because 122272605625 - 2³³ = 113682671033 is a prime.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 620673027 + ... + 620673223.

Almost surely, 2^122272605625 is an apocalyptic number.

122272605625 is the 349675-th square number.

122272605625 is the 174838-th centered octagonal number.

It is an amenable number.

122272605625 is a deficient number, since it is larger than the sum of its proper divisors (33492214146).

122272605625 is an frugal number, since it uses more digits than its factorization.

122272605625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

Adding to 122272605625 its reverse (526506272221), we get a palindrome (648778877846).

The spelling of 122272605625 in words is "one hundred twenty-two billion, two hundred seventy-two million, six hundred five thousand, six hundred twenty-five".