221332202233122 has 16 divisors (see below), whose sum is σ = 454628307290112. Its totient is φ = 71783416940400.

The previous prime is 221332202233117. The next prime is 221332202233187.

It is a happy number.

221332202233122 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 221332202233122.

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 7 ways as a sum of consecutive naturals, for example, 498495950754 + ... + 498495951197.

It is an arithmetic number, because the mean of its divisors is an integer number (28414269205632).

Almost surely, 2^{221332202233122} is an apocalyptic number.

221332202233122 is an abundant number, since it is smaller than the sum of its proper divisors (233296105056990).

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

221332202233122 is a wasteful number, since it uses less digits than its factorization.

221332202233122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996991901993.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 22133220 and 2233122, that added together give a palindrome (24366342).

The spelling of 221332202233122 in words is "two hundred twenty-one trillion, three hundred thirty-two billion, two hundred two million, two hundred thirty-three thousand, one hundred twenty-two".