112222110120120 has 768 divisors, whose sum is σ = 489755185920000. Its totient is φ = 21522539704320.

The previous prime is 112222110120077. The next prime is 112222110120179. The reversal of 112222110120120 is 21021011222211.

112222110120120 is a `hidden beast` number, since 1 + 122 + 221 + 101 + 201 + 20 = 666.

112222110120120 is digitally balanced in base 3, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 112222110120093 and 112222110120102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4534397506 + ... + 4534422254.

It is an arithmetic number, because the mean of its divisors is an integer number (637702065000).

Almost surely, 2^{112222110120120} is an apocalyptic number.

112222110120120 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 112222110120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244877592960000).

112222110120120 is an abundant number, since it is smaller than the sum of its proper divisors (377533075799880).

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

112222110120120 is a wasteful number, since it uses less digits than its factorization.

112222110120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37380 (or 37373 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112222110120120 its reverse (21021011222211), we get a palindrome (133243121342331).

The spelling of 112222110120120 in words is "one hundred twelve trillion, two hundred twenty-two billion, one hundred ten million, one hundred twenty thousand, one hundred twenty".