22102022220120 has 128 divisors (see below), whose sum is σ = 73674663321600. Its totient is φ = 5893772118912.

The previous prime is 22102022220053. The next prime is 22102022220143. The reversal of 22102022220120 is 2102222020122.

22102022220120 is a `hidden beast` number, since 221 + 0 + 2 + 0 + 222 + 201 + 20 = 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 = 22102022220093 and 22102022220102.

It is a congruent 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, 80455719 + ... + 80729961.

It is an arithmetic number, because the mean of its divisors is an integer number (575583307200).

Almost surely, 2^{22102022220120} is an apocalyptic number.

22102022220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102022220120 is an abundant number, since it is smaller than the sum of its proper divisors (51572641101480).

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

22102022220120 is a wasteful number, since it uses less digits than its factorization.

22102022220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348886 (or 348876 counting only the distinct ones).

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

Adding to 22102022220120 its reverse (2102222020122), we get a palindrome (24204244240242).

The spelling of 22102022220120 in words is "twenty-two trillion, one hundred two billion, twenty-two million, two hundred twenty thousand, one hundred twenty".