22210121120 has 288 divisors, whose sum is σ = 62162795520. Its totient is φ = 7471411200.

The previous prime is 22210121113. The next prime is 22210121123. The reversal of 22210121120 is 2112101222.

It is a junction number, because it is equal to n+sod(n) for n = 22210121095 and 22210121104.

It is not an unprimeable number, because it can be changed into a prime (22210121123) 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 47 ways as a sum of consecutive naturals, for example, 13802876 + ... + 13804484.

It is an arithmetic number, because the mean of its divisors is an integer number (215843040).

Almost surely, 2^22210121120 is an apocalyptic number.

22210121120 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 22210121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31081397760).

22210121120 is an abundant number, since it is smaller than the sum of its proper divisors (39952674400).

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

22210121120 is a wasteful number, since it uses less digits than its factorization.

22210121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1681 counting only the distinct ones).

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

Adding to 22210121120 its reverse (2112101222), we get a palindrome (24322222342).

The spelling of 22210121120 in words is "twenty-two billion, two hundred ten million, one hundred twenty-one thousand, one hundred twenty".