112713120 has 288 divisors, whose sum is σ = 431488512. Its totient is φ = 27620352.

The previous prime is 112713103. The next prime is 112713157. The reversal of 112713120 is 21317211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 112713093 and 112713102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505329 + ... + 505551.

It is an arithmetic number, because the mean of its divisors is an integer number (1498224).

Almost surely, 2^112713120 is an apocalyptic number.

112713120 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 112713120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215744256).

112713120 is an abundant number, since it is smaller than the sum of its proper divisors (318775392).

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

112713120 is a wasteful number, since it uses less digits than its factorization.

112713120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 112713120 is about 10616.6435373898. The cubic root of 112713120 is about 483.0493371923.

The spelling of 112713120 in words is "one hundred twelve million, seven hundred thirteen thousand, one hundred twenty".