221342404243122 has 96 divisors (see below), whose sum is σ = 534229192237104. Its totient is φ = 65916075110400.

The previous prime is 221342404243069. The next prime is 221342404243141.

221342404243122 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 4 + 2 + 404 + 243 + 1 + 2 + 2 = 666.

221342404243122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 112012356120921 + 109330048122201 = 10583589^2 + 10456101^2 .

It is a super-2 number, since 2×221342404243122² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237947529 + ... + 238875932.

Almost surely, 2^{221342404243122} is an apocalyptic number.

221342404243122 is an abundant number, since it is smaller than the sum of its proper divisors (312886787993982).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221342404243122 is a wasteful number, since it uses less digits than its factorization.

221342404243122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476823564 (or 476823561 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 22134240 and 4243122, that added together give a palindrome (26377362).

The spelling of 221342404243122 in words is "two hundred twenty-one trillion, three hundred forty-two billion, four hundred four million, two hundred forty-three thousand, one hundred twenty-two".