22200221120 has 224 divisors, whose sum is σ = 69787008000. Its totient is φ = 6512394240.

The previous prime is 22200221093. The next prime is 22200221179. The reversal of 22200221120 is 2112200222.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22200221095 and 22200221104.

It is a congruent number.

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, 392381 + ... + 445379.

Almost surely, 2^22200221120 is an apocalyptic number.

22200221120 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 22200221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34893504000).

22200221120 is an abundant number, since it is smaller than the sum of its proper divisors (47586786880).

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

22200221120 is a wasteful number, since it uses less digits than its factorization.

22200221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53051 (or 53041 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22200221120 its reverse (2112200222), we get a palindrome (24312421342).

The spelling of 22200221120 in words is "twenty-two billion, two hundred million, two hundred twenty-one thousand, one hundred twenty".