221322363223122 has 48 divisors (see below), whose sum is σ = 548043119050752. Its totient is φ = 63234177336000.

The previous prime is 221322363223121. The next prime is 221322363223211.

221322363223122 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 2 + 2 + 3 + 632 + 2 + 3 + 12 + 2 = 666.

221322363223122 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (221322363223121) 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, 636498 + ... + 21048749.

It is an arithmetic number, because the mean of its divisors is an integer number (11417564980224).

Almost surely, 2^{221322363223122} is an apocalyptic number.

221322363223122 is an abundant number, since it is smaller than the sum of its proper divisors (326720755827630).

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

221322363223122 is a wasteful number, since it uses less digits than its factorization.

221322363223122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21766263 (or 21766260 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The spelling of 221322363223122 in words is "two hundred twenty-one trillion, three hundred twenty-two billion, three hundred sixty-three million, two hundred twenty-three thousand, one hundred twenty-two".