221133222123120 has 120 divisors (see below), whose sum is σ = 742641854906016. Its totient is φ = 58968638175744.

The previous prime is 221133222123113. The next prime is 221133222123167. The reversal of 221133222123120 is 21321222331122.

221133222123120 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 3 + 322 + 21 + 2 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 301957237 + ... + 302688683.

Almost surely, 2^{221133222123120} is an apocalyptic number.

221133222123120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221133222123120 is an abundant number, since it is smaller than the sum of its proper divisors (521508632782896).

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

221133222123120 is a wasteful number, since it uses less digits than its factorization.

221133222123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151359 (or 1151350 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 221133222123120 its reverse (21321222331122), we get a palindrome (242454444454242).

The spelling of 221133222123120 in words is "two hundred twenty-one trillion, one hundred thirty-three billion, two hundred twenty-two million, one hundred twenty-three thousand, one hundred twenty".