221442222244122 has 36 divisors (see below), whose sum is σ = 527374107801450. Its totient is φ = 67103703709680.

The previous prime is 221442222244063. The next prime is 221442222244169.

221442222244122 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 422 + 2 + 224 + 4 + 1 + 2 + 2 = 666.

221442222244122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 215487397301121 + 5954824943001 = 14679489^2 + 2440251^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50836136997 + ... + 50836141352.

Almost surely, 2^{221442222244122} is an apocalyptic number.

221442222244122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221442222244122 is an abundant number, since it is smaller than the sum of its proper divisors (305931885557328).

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

221442222244122 is a wasteful number, since it uses less digits than its factorization.

221442222244122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101672278379 (or 101672278365 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

The spelling of 221442222244122 in words is "two hundred twenty-one trillion, four hundred forty-two billion, two hundred twenty-two million, two hundred forty-four thousand, one hundred twenty-two".