112111112220120 has 256 divisors, whose sum is σ = 402496286976000. Its totient is φ = 27593417553408.

The previous prime is 112111112220073. The next prime is 112111112220161. The reversal of 112111112220120 is 21022211111211.

It is a happy number.

112111112220120 is a `hidden beast` number, since 1 + 1 + 211 + 1 + 112 + 220 + 120 = 666.

112111112220120 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 = 112111112220093 and 112111112220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123196941 + ... + 124103619.

It is an arithmetic number, because the mean of its divisors is an integer number (1572251121000).

Almost surely, 2^{112111112220120} is an apocalyptic number.

112111112220120 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 112111112220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201248143488000).

112111112220120 is an abundant number, since it is smaller than the sum of its proper divisors (290385174755880).

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

112111112220120 is a wasteful number, since it uses less digits than its factorization.

112111112220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915519 (or 915509 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112111112220120 its reverse (21022211111211), we get a palindrome (133133323331331).

The spelling of 112111112220120 in words is "one hundred twelve trillion, one hundred eleven billion, one hundred twelve million, two hundred twenty thousand, one hundred twenty".