112983720 has 128 divisors (see below), whose sum is σ = 349920000. Its totient is φ = 29173760.

The previous prime is 112983719. The next prime is 112983727. The reversal of 112983720 is 27389211.

It is not an unprimeable number, because it can be changed into a prime (112983727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758206 + ... + 758354.

It is an arithmetic number, because the mean of its divisors is an integer number (2733750).

Almost surely, 2^112983720 is an apocalyptic number.

112983720 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 112983720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174960000).

112983720 is an abundant number, since it is smaller than the sum of its proper divisors (236936280).

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

112983720 is a wasteful number, since it uses less digits than its factorization.

112983720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 112983720 is about 10629.3800383654. The cubic root of 112983720 is about 483.4355941640.

The spelling of 112983720 in words is "one hundred twelve million, nine hundred eighty-three thousand, seven hundred twenty".