22125210120 has 192 divisors, whose sum is σ = 80109010800. Its totient is φ = 5258373120.

The previous prime is 22125210089. The next prime is 22125210137. The reversal of 22125210120 is 2101252122.

22125210120 is a `hidden beast` number, since 2 + 21 + 2 + 521 + 0 + 120 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 433222596 + 21691987524 = 20814^2 + 147282^2 .

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 = 22125210093 and 22125210102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54210 + ... + 217230.

Almost surely, 2^22125210120 is an apocalyptic number.

22125210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22125210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40054505400).

22125210120 is an abundant number, since it is smaller than the sum of its proper divisors (57983800680).

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

22125210120 is a wasteful number, since it uses less digits than its factorization.

22125210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163080 (or 163073 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 22125210120 its reverse (2101252122), we get a palindrome (24226462242).

The spelling of 22125210120 in words is "twenty-two billion, one hundred twenty-five million, two hundred ten thousand, one hundred twenty".