22121120120 has 256 divisors, whose sum is σ = 62481715200. Its totient is φ = 6939648000.

The previous prime is 22121120081. The next prime is 22121120123. The reversal of 22121120120 is 2102112122.

It is a junction number, because it is equal to n+sod(n) for n = 22121120095 and 22121120104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22121120123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4403210 + ... + 4408230.

It is an arithmetic number, because the mean of its divisors is an integer number (244069200).

Almost surely, 2^22121120120 is an apocalyptic number.

22121120120 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 22121120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31240857600).

22121120120 is an abundant number, since it is smaller than the sum of its proper divisors (40360595080).

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

22121120120 is a wasteful number, since it uses less digits than its factorization.

22121120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5110 (or 5106 counting only the distinct ones).

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

Adding to 22121120120 its reverse (2102112122), we get a palindrome (24223232242).

It can be divided in two parts, 22121 and 120120, that added together give a palindrome (142241).

The spelling of 22121120120 in words is "twenty-two billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty".