222432313311120 has 160 divisors (see below), whose sum is σ = 791816464788480. Its totient is φ = 51084933189120.

The previous prime is 222432313311097. The next prime is 222432313311133. The reversal of 222432313311120 is 21113313234222.

It is a super-2 number, since 2×222432313311120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 2217177844 + ... + 2217278163.

It is an arithmetic number, because the mean of its divisors is an integer number (4948852904928).

Almost surely, 2^{222432313311120} is an apocalyptic number.

222432313311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222432313311120 is an abundant number, since it is smaller than the sum of its proper divisors (569384151477360).

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

222432313311120 is a wasteful number, since it uses less digits than its factorization.

222432313311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4434456053 (or 4434456047 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 222432313311120 its reverse (21113313234222), we get a palindrome (243545626545342).

The spelling of 222432313311120 in words is "two hundred twenty-two trillion, four hundred thirty-two billion, three hundred thirteen million, three hundred eleven thousand, one hundred twenty".