22221312120 has 512 divisors, whose sum is σ = 89081856000. Its totient is φ = 4819875840.

The previous prime is 22221312109. The next prime is 22221312133. The reversal of 22221312120 is 2121312222.

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 = 22221312093 and 22221312102.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 12420186 + ... + 12421974.

It is an arithmetic number, because the mean of its divisors is an integer number (173988000).

Almost surely, 2^22221312120 is an apocalyptic number.

22221312120 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 22221312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44540928000).

22221312120 is an abundant number, since it is smaller than the sum of its proper divisors (66860543880).

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

22221312120 is a wasteful number, since it uses less digits than its factorization.

22221312120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22221312120 its reverse (2121312222), we get a palindrome (24342624342).

The spelling of 22221312120 in words is "twenty-two billion, two hundred twenty-one million, three hundred twelve thousand, one hundred twenty".