222310013120 has 112 divisors (see below), whose sum is σ = 570458669088. Its totient is φ = 82031616000.

The previous prime is 222310013117. The next prime is 222310013143. The reversal of 222310013120 is 21310013222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6876995 + ... + 6909245.

It is an arithmetic number, because the mean of its divisors is an integer number (5093380974).

Almost surely, 2^222310013120 is an apocalyptic number.

222310013120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222310013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285229334544).

222310013120 is an abundant number, since it is smaller than the sum of its proper divisors (348148655968).

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

222310013120 is a wasteful number, since it uses less digits than its factorization.

222310013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33938 (or 33928 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 222310013120 its reverse (21310013222), we get a palindrome (243620026342).

The spelling of 222310013120 in words is "two hundred twenty-two billion, three hundred ten million, thirteen thousand, one hundred twenty".