22112211102120 has 160 divisors (see below), whose sum is σ = 74813796097920. Its totient is φ = 5857539235200.

The previous prime is 22112211102119. The next prime is 22112211102151. The reversal of 22112211102120 is 2120111221122.

22112211102120 is a `hidden beast` number, since 2 + 211 + 221 + 110 + 2 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22112211102093 and 22112211102102.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22109292 + ... + 23087771.

It is an arithmetic number, because the mean of its divisors is an integer number (467586225612).

Almost surely, 2^{22112211102120} is an apocalyptic number.

22112211102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112211102120 is an abundant number, since it is smaller than the sum of its proper divisors (52701584995800).

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

22112211102120 is a wasteful number, since it uses less digits than its factorization.

22112211102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45197237 (or 45197224 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22112211102120 its reverse (2120111221122), we get a palindrome (24232322323242).

The spelling of 22112211102120 in words is "twenty-two trillion, one hundred twelve billion, two hundred eleven million, one hundred two thousand, one hundred twenty".