122357941209 has 27 divisors (see below), whose sum is σ = 205606979487. Its totient is φ = 69914625984.

The previous prime is 122357941177. The next prime is 122357941219. The reversal of 122357941209 is 902149753221.

The square root of 122357941209 is 349797.

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

122357941209 is a `hidden beast` number, since 1 + 2 + 2 + 357 + 94 + 1 + 209 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121888265625 + 469675584 = 349125^2 + 21672^2 .

It is not a de Polignac number, because 122357941209 - 2⁵ = 122357941177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122357941219) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 7337409 + ... + 7354065.

Almost surely, 2^122357941209 is an apocalyptic number.

122357941209 is the 349797-th square number.

122357941209 is the 174899-th centered octagonal number.

It is an amenable number.

122357941209 is a deficient number, since it is larger than the sum of its proper divisors (83249038278).

122357941209 is an frugal number, since it uses more digits than its factorization.

122357941209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33334 (or 16667 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 122357941209 in words is "one hundred twenty-two billion, three hundred fifty-seven million, nine hundred forty-one thousand, two hundred nine".