122325762001 has 9 divisors (see below), whose sum is σ = 122788827291. Its totient is φ = 121864440432.

The previous prime is 122325761983. The next prime is 122325762023. The reversal of 122325762001 is 100267523221.

The square root of 122325762001 is 349751.

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

It can be written as a sum of positive squares in only one way, i.e., 50942747025 + 71383014976 = 225705^2 + 267176^2 .

It is not a de Polignac number, because 122325762001 - 2³⁵ = 87966023633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122325762401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 128358141 + ... + 128359093.

Almost surely, 2^122325762001 is an apocalyptic number.

122325762001 is the 349751-st square number.

122325762001 is the 174876-th centered octagonal number.

It is an amenable number.

122325762001 is a deficient number, since it is larger than the sum of its proper divisors (463065290).

122325762001 is an frugal number, since it uses more digits than its factorization.

122325762001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 122325762001 in words is "one hundred twenty-two billion, three hundred twenty-five million, seven hundred sixty-two thousand, one".