112157120 has 56 divisors (see below), whose sum is σ = 268004544. Its totient is φ = 44706816.

The previous prime is 112157117. The next prime is 112157141. The reversal of 112157120 is 21751211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112157092 and 112157101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147782 + ... + 148538.

Almost surely, 2^112157120 is an apocalyptic number.

112157120 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 112157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134002272).

112157120 is an abundant number, since it is smaller than the sum of its proper divisors (155847424).

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

112157120 is an equidigital number, since it uses as much as digits as its factorization.

112157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 20.

The square root of 112157120 is about 10590.4258649027. The cubic root of 112157120 is about 482.2537531992.

The spelling of 112157120 in words is "one hundred twelve million, one hundred fifty-seven thousand, one hundred twenty".