221333242333122 has 24 divisors (see below), whose sum is σ = 484303431247740. Its totient is φ = 73047274696800.

The previous prime is 221333242333087. The next prime is 221333242333207.

221333242333122 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 332 + 4 + 2 + 3 + 3 + 312 + 2 = 666.

221333242333122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 134805126734721 + 86528115598401 = 11610561^2 + 9302049^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60872727097 + ... + 60872730732.

Almost surely, 2^{221333242333122} is an apocalyptic number.

221333242333122 is an abundant number, since it is smaller than the sum of its proper divisors (262970188914618).

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

221333242333122 is a wasteful number, since it uses less digits than its factorization.

221333242333122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121745457938 (or 121745457935 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 221333242333122 in words is "two hundred twenty-one trillion, three hundred thirty-three billion, two hundred forty-two million, three hundred thirty-three thousand, one hundred twenty-two".