22200022211120 has 160 divisors (see below), whose sum is σ = 57511053432000. Its totient is φ = 7913057144832.

The previous prime is 22200022211117. The next prime is 22200022211131. The reversal of 22200022211120 is 2111222000222.

It is a happy 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, 208020494 + ... + 208127186.

It is an arithmetic number, because the mean of its divisors is an integer number (359444083950).

Almost surely, 2^{22200022211120} is an apocalyptic number.

22200022211120 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 22200022211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28755526716000).

22200022211120 is an abundant number, since it is smaller than the sum of its proper divisors (35311031220880).

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

22200022211120 is a wasteful number, since it uses less digits than its factorization.

22200022211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113647 (or 113641 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22200022211120 its reverse (2111222000222), we get a palindrome (24311244211342).

The spelling of 22200022211120 in words is "twenty-two trillion, two hundred billion, twenty-two million, two hundred eleven thousand, one hundred twenty".