22122120111120 has 60 divisors (see below), whose sum is σ = 74293453375596. Its totient is φ = 5899232029440.

The previous prime is 22122120111083. The next prime is 22122120111137. The reversal of 22122120111120 is 2111102122122.

22122120111120 is a `hidden beast` number, since 221 + 2 + 212 + 0 + 111 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4183710249744 + 17938409861376 = 2045412^2 + 4235376^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×22122120111120² (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 = 22122120111093 and 22122120111102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15362582691 + ... + 15362584130.

Almost surely, 2^{22122120111120} is an apocalyptic number.

22122120111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122120111120 is an abundant number, since it is smaller than the sum of its proper divisors (52171333264476).

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

22122120111120 is a wasteful number, since it uses less digits than its factorization.

22122120111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30725166840 (or 30725166831 counting only the distinct ones).

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

Adding to 22122120111120 its reverse (2111102122122), we get a palindrome (24233222233242).

The spelling of 22122120111120 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred twenty million, one hundred eleven thousand, one hundred twenty".