122257220409 has 27 divisors (see below), whose sum is σ = 182938702063. Its totient is φ = 78674722224.

The previous prime is 122257220401. The next prime is 122257220447. The reversal of 122257220409 is 904022752221.

It is a happy number.

The square root of 122257220409 is 349653.

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

122257220409 is a `hidden beast` number, since 1 + 2 + 2 + 25 + 7 + 220 + 409 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64108720809 + 58148499600 = 253197^2 + 241140^2 .

It is not a de Polignac number, because 122257220409 - 2³ = 122257220401 is a prime.

It is a super-2 number, since 2×122257220409² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122257220401) 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, 30417802 + ... + 30421820.

Almost surely, 2^122257220409 is an apocalyptic number.

122257220409 is the 349653-rd square number.

122257220409 is the 174827-th centered octagonal number.

It is an amenable number.

122257220409 is a deficient number, since it is larger than the sum of its proper divisors (60681481654).

122257220409 is an frugal number, since it uses more digits than its factorization.

122257220409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8102 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Multiplying 122257220409 by its sum of digits (36), we get a square (4401259934724 = 2097918²).

The spelling of 122257220409 in words is "one hundred twenty-two billion, two hundred fifty-seven million, two hundred twenty thousand, four hundred nine".