122097830625 has 75 divisors (see below), whose sum is σ = 228065216863. Its totient is φ = 65076912000.

The previous prime is 122097830587. The next prime is 122097830633. The reversal of 122097830625 is 526038790221.

The square root of 122097830625 is 349425.

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

122097830625 is a `hidden beast` number, since 12 + 2 + 0 + 9 + 7 + 8 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 121896644769 + 201185856 = 349137^2 + 14184^2 .

It is a tau number, because it is divible by the number of its divisors (75).

It is not a de Polignac number, because 122097830625 - 2²⁵ = 122064276193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 78619849 + ... + 78621401.

Almost surely, 2^122097830625 is an apocalyptic number.

122097830625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

122097830625 is the 349425-th square number.

122097830625 is the 174713-rd centered octagonal number.

It is an amenable number.

122097830625 is a deficient number, since it is larger than the sum of its proper divisors (105967386238).

122097830625 is an frugal number, since it uses more digits than its factorization.

122097830625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 122097830625 in words is "one hundred twenty-two billion, ninety-seven million, eight hundred thirty thousand, six hundred twenty-five".