22022220102120 has 160 divisors (see below), whose sum is σ = 84593290003200. Its totient is φ = 5033650303872.

The previous prime is 22022220102109. The next prime is 22022220102139. The reversal of 22022220102120 is 2120102222022.

22022220102120 is a `hidden beast` number, since 220 + 2 + 2 + 220 + 10 + 212 + 0 = 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 = 22022220102093 and 22022220102102.

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, 485476000 + ... + 485521359.

It is an arithmetic number, because the mean of its divisors is an integer number (528708062520).

Almost surely, 2^{22022220102120} is an apocalyptic number.

22022220102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022220102120 is an abundant number, since it is smaller than the sum of its proper divisors (62571069901080).

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

22022220102120 is a wasteful number, since it uses less digits than its factorization.

22022220102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970997389 (or 970997376 counting only the distinct ones).

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

Adding to 22022220102120 its reverse (2120102222022), we get a palindrome (24142322324142).

The spelling of 22022220102120 in words is "twenty-two trillion, twenty-two billion, two hundred twenty million, one hundred two thousand, one hundred twenty".