222013133320 has 128 divisors (see below), whose sum is σ = 549589017600. Its totient is φ = 80045996800.

The previous prime is 222013133299. The next prime is 222013133359. The reversal of 222013133320 is 23331310222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 222013133291 and 222013133300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30784515 + ... + 30791725.

It is an arithmetic number, because the mean of its divisors is an integer number (4293664200).

Almost surely, 2^222013133320 is an apocalyptic number.

222013133320 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 222013133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274794508800).

222013133320 is an abundant number, since it is smaller than the sum of its proper divisors (327575884280).

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

222013133320 is a wasteful number, since it uses less digits than its factorization.

222013133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7819 (or 7815 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 222013133320 its reverse (23331310222), we get a palindrome (245344443542).

The spelling of 222013133320 in words is "two hundred twenty-two billion, thirteen million, one hundred thirty-three thousand, three hundred twenty".