221432242234122 has 48 divisors (see below), whose sum is σ = 506280307403520. Its totient is φ = 69751592208000.

The previous prime is 221432242234087. The next prime is 221432242234123.

It is a happy number.

221432242234122 is a `hidden beast` number, since 2 + 2 + 14 + 3 + 2 + 2 + 4 + 223 + 412 + 2 = 666.

221432242234122 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×221432242234122² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221432242234123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807172954 + ... + 807447237.

It is an arithmetic number, because the mean of its divisors is an integer number (10547506404240).

Almost surely, 2^{221432242234122} is an apocalyptic number.

221432242234122 is an abundant number, since it is smaller than the sum of its proper divisors (284848065169398).

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

221432242234122 is a wasteful number, since it uses less digits than its factorization.

221432242234122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614620619 (or 1614620616 counting only the distinct ones).

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

The spelling of 221432242234122 in words is "two hundred twenty-one trillion, four hundred thirty-two billion, two hundred forty-two million, two hundred thirty-four thousand, one hundred twenty-two".