22222212121120 has 192 divisors, whose sum is σ = 57591351724032. Its totient is φ = 8035872768000.

The previous prime is 22222212121079. The next prime is 22222212121133. The reversal of 22222212121120 is 2112121222222.

22222212121120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 22222212121091 and 22222212121100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1242774580 + ... + 1242792460.

It is an arithmetic number, because the mean of its divisors is an integer number (299954956896).

Almost surely, 2^{22222212121120} is an apocalyptic number.

22222212121120 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 22222212121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28795675862016).

22222212121120 is an abundant number, since it is smaller than the sum of its proper divisors (35369139602912).

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

22222212121120 is a wasteful number, since it uses less digits than its factorization.

22222212121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21795 (or 21787 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 22222212121120 its reverse (2112121222222), we get a palindrome (24334333343342).

The spelling of 22222212121120 in words is "twenty-two trillion, two hundred twenty-two billion, two hundred twelve million, one hundred twenty-one thousand, one hundred twenty".