22111022120 has 96 divisors (see below), whose sum is σ = 57900565800. Its totient is φ = 7567380480.

The previous prime is 22111022119. The next prime is 22111022123. The reversal of 22111022120 is 2122011122.

It can be written as a sum of positive squares in 4 ways, for example, as 13132701604 + 8978320516 = 114598^2 + 94754^2 .

It is a super-2 number, since 2×22111022120² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22111022095 and 22111022104.

It is not an unprimeable number, because it can be changed into a prime (22111022123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52085 + ... + 216644.

Almost surely, 2^22111022120 is an apocalyptic number.

22111022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22111022120 is an abundant number, since it is smaller than the sum of its proper divisors (35789543680).

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

22111022120 is a wasteful number, since it uses less digits than its factorization.

22111022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268779 (or 268764 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22111022120 its reverse (2122011122), we get a palindrome (24233033242).

The spelling of 22111022120 in words is "twenty-two billion, one hundred eleven million, twenty-two thousand, one hundred twenty".