22210122120120 has 320 divisors, whose sum is σ = 81581836659840. Its totient is φ = 5374703635200.

The previous prime is 22210122120113. The next prime is 22210122120139. The reversal of 22210122120120 is 2102122101222.

It is a happy number.

22210122120120 is a `hidden beast` number, since 2 + 221 + 0 + 1 + 221 + 201 + 20 = 666.

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 = 22210122120093 and 22210122120102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19511875 + ... + 20618765.

It is an arithmetic number, because the mean of its divisors is an integer number (254943239562).

Almost surely, 2^{22210122120120} is an apocalyptic number.

22210122120120 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 22210122120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40790918329920).

22210122120120 is an abundant number, since it is smaller than the sum of its proper divisors (59371714539720).

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

22210122120120 is a wasteful number, since it uses less digits than its factorization.

22210122120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107488 (or 1107475 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22210122120120 its reverse (2102122101222), we get a palindrome (24312244221342).

The spelling of 22210122120120 in words is "twenty-two trillion, two hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, one hundred twenty".