112155120 has 540 divisors, whose sum is σ = 507750984. Its totient is φ = 21934080.

The previous prime is 112155101. The next prime is 112155139. The reversal of 112155120 is 21551211.

112155120 is a `hidden beast` number, since 112 + 1 + 551 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112155101) and next prime (112155139).

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 = 112155093 and 112155102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6597352 + ... + 6597368.

Almost surely, 2^112155120 is an apocalyptic number.

112155120 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 112155120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253875492).

112155120 is an abundant number, since it is smaller than the sum of its proper divisors (395595864).

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

112155120 is a wasteful number, since it uses less digits than its factorization.

112155120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 112155120 is about 10590.3314395726. The cubic root of 112155120 is about 482.2508866454.

It can be divided in two parts, 1 and 12155120, that added together give a palindrome (12155121).

The spelling of 112155120 in words is "one hundred twelve million, one hundred fifty-five thousand, one hundred twenty".