22200222102120 has 96 divisors (see below), whose sum is σ = 74100741385320. Its totient is φ = 5760057623040.

The previous prime is 22200222102013. The next prime is 22200222102131. The reversal of 22200222102120 is 2120122200222.

22200222102120 is a `hidden beast` number, since 2 + 220 + 0 + 22 + 210 + 212 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22165395824196 + 34826277924 = 4708014^2 + 186618^2 .

It is a super-2 number, since 2×22200222102120² (a number of 27 digits) contains 22 as substring.

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 = 22200222102093 and 22200222102102.

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, 833328351 + ... + 833354990.

Almost surely, 2^{22200222102120} is an apocalyptic number.

22200222102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200222102120 is an abundant number, since it is smaller than the sum of its proper divisors (51900519283200).

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

22200222102120 is a wasteful number, since it uses less digits than its factorization.

22200222102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666683395 (or 1666683388 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22200222102120 its reverse (2120122200222), we get a palindrome (24320344302342).

The spelling of 22200222102120 in words is "twenty-two trillion, two hundred billion, two hundred twenty-two million, one hundred two thousand, one hundred twenty".