122128910928025 has 27 divisors (see below), whose sum is σ = 152546776500573. Its totient is φ = 96994128276000.

The previous prime is 122128910928023. The next prime is 122128910928029. The reversal of 122128910928025 is 520829019821221.

It is a happy number.

The square root of 122128910928025 is 11051195.

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

It can be written as a sum of positive squares in 4 ways, for example, as 34919909220249 + 87209001707776 = 5909307^2 + 9338576^2 .

It is not a de Polignac number, because 122128910928025 - 2¹ = 122128910928023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122128910928023) 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 26 ways as a sum of consecutive naturals, for example, 7680572575 + ... + 7680588475.

Almost surely, 2^{122128910928025} is an apocalyptic number.

122128910928025 is the 11051195-th square number.

122128910928025 is the 5525598-th centered octagonal number.

It is an amenable number.

122128910928025 is a deficient number, since it is larger than the sum of its proper divisors (30417865572548).

122128910928025 is an frugal number, since it uses more digits than its factorization.

122128910928025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32090 (or 16045 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 52.

The spelling of 122128910928025 in words is "one hundred twenty-two trillion, one hundred twenty-eight billion, nine hundred ten million, nine hundred twenty-eight thousand, twenty-five".