112011201120 has 576 divisors, whose sum is σ = 454005590976. Its totient is φ = 22992076800.

The previous prime is 112011201091. The next prime is 112011201173. The reversal of 112011201120 is 21102110211.

It is a Harshad number since it is a multiple of its sum of digits (12).

112011201120 is a modest number, since divided by 11201120 gives 1120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 112011201096 and 112011201105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11308170 + ... + 11318070.

It is an arithmetic number, because the mean of its divisors is an integer number (788204151).

Almost surely, 2^112011201120 is an apocalyptic number.

112011201120 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 112011201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227002795488).

112011201120 is an abundant number, since it is smaller than the sum of its proper divisors (341994389856).

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

112011201120 is a wasteful number, since it uses less digits than its factorization.

112011201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9983 (or 9968 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112011201120 its reverse (21102110211), we get a palindrome (133113311331).

Subtracting from 112011201120 its reverse (21102110211), we obtain a palindrome (90909090909).

The spelling of 112011201120 in words is "one hundred twelve billion, eleven million, two hundred one thousand, one hundred twenty".