222432324323120 has 40 divisors (see below), whose sum is σ = 517974734444640. Its totient is φ = 88831926650880.

The previous prime is 222432324323087. The next prime is 222432324323137. The reversal of 222432324323120 is 21323423234222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×222432324323120² (a number of 29 digits) contains 22 as substring.

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, 2203122305 + ... + 2203223264.

It is an arithmetic number, because the mean of its divisors is an integer number (12949368361116).

Almost surely, 2^{222432324323120} is an apocalyptic number.

222432324323120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222432324323120 is an abundant number, since it is smaller than the sum of its proper divisors (295542410121520).

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

222432324323120 is a wasteful number, since it uses less digits than its factorization.

222432324323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4406346213 (or 4406346207 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 35.

Adding to 222432324323120 its reverse (21323423234222), we get a palindrome (243755747557342).

The spelling of 222432324323120 in words is "two hundred twenty-two trillion, four hundred thirty-two billion, three hundred twenty-four million, three hundred twenty-three thousand, one hundred twenty".