22120100111120 has 120 divisors (see below), whose sum is σ = 56549509604952. Its totient is φ = 8040847288320.

The previous prime is 22120100111111. The next prime is 22120100111147. The reversal of 22120100111120 is 2111100102122.

It can be written as a sum of positive squares in 4 ways, for example, as 444296901136 + 21675803209984 = 666556^2 + 4655728^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22120100111095 and 22120100111104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27255842 + ... + 28055678.

Almost surely, 2^{22120100111120} is an apocalyptic number.

22120100111120 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 22120100111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28274754802476).

22120100111120 is an abundant number, since it is smaller than the sum of its proper divisors (34429409493832).

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

22120100111120 is a wasteful number, since it uses less digits than its factorization.

22120100111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802729 (or 802712 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22120100111120 its reverse (2111100102122), we get a palindrome (24231200213242).

The spelling of 22120100111120 in words is "twenty-two trillion, one hundred twenty billion, one hundred million, one hundred eleven thousand, one hundred twenty".