22210211110120 has 192 divisors, whose sum is σ = 58350455856000. Its totient is φ = 7581165166080.

The previous prime is 22210211110081. The next prime is 22210211110123. The reversal of 22210211110120 is 2101111201222.

It is a junction number, because it is equal to n+sod(n) for n = 22210211110094 and 22210211110103.

It is not an unprimeable number, because it can be changed into a prime (22210211110123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8915749 + ... + 11131531.

It is an arithmetic number, because the mean of its divisors is an integer number (303908624250).

Almost surely, 2^{22210211110120} is an apocalyptic number.

22210211110120 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 22210211110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29175227928000).

22210211110120 is an abundant number, since it is smaller than the sum of its proper divisors (36140244745880).

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

22210211110120 is a wasteful number, since it uses less digits than its factorization.

22210211110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215944 (or 2215929 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22210211110120 its reverse (2101111201222), we get a palindrome (24311322311342).

The spelling of 22210211110120 in words is "twenty-two trillion, two hundred ten billion, two hundred eleven million, one hundred ten thousand, one hundred twenty".