22242302120 has 128 divisors (see below), whose sum is σ = 54034992000. Its totient is φ = 8212700160.

The previous prime is 22242302023. The next prime is 22242302149. The reversal of 22242302120 is 2120324222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22242302092 and 22242302101.

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, 26829866 + ... + 26830694.

It is an arithmetic number, because the mean of its divisors is an integer number (422148375).

Almost surely, 2^22242302120 is an apocalyptic number.

22242302120 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 22242302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27017496000).

22242302120 is an abundant number, since it is smaller than the sum of its proper divisors (31792689880).

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

22242302120 is a wasteful number, since it uses less digits than its factorization.

22242302120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22242302120 its reverse (2120324222), we get a palindrome (24362626342).

The spelling of 22242302120 in words is "twenty-two billion, two hundred forty-two million, three hundred two thousand, one hundred twenty".