112222120000000 has 320 divisors, whose sum is σ = 281506900824864. Its totient is φ = 44692480000000.

The previous prime is 112222119999943. The next prime is 112222120000019. The reversal of 112222120000000 is 21222211.

It is a happy number.

112222120000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 108015945597184 + 4206174402816 = 10393072^2 + 2050896^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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, 9319993980 + ... + 9320006020.

Almost surely, 2^{112222120000000} is an apocalyptic number.

112222120000000 is a gapful number since it is divisible by the number (10) 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 112222120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140753450412432).

112222120000000 is an abundant number, since it is smaller than the sum of its proper divisors (169284780824864).

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

112222120000000 is an frugal number, since it uses more digits than its factorization.

112222120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12327 (or 12281 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 112222120000000 its reverse (21222211), we get a palindrome (112222141222211).

The spelling of 112222120000000 in words is "one hundred twelve trillion, two hundred twenty-two billion, one hundred twenty million", and thus it is an aban number.