112385988 has 192 divisors, whose sum is σ = 361267200. Its totient is φ = 29704320.

The previous prime is 112385941. The next prime is 112385989. The reversal of 112385988 is 889583211.

It is a happy number.

It is a super-2 number, since 2×112385988² = 25261220597472288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112385989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293245 + ... + 293627.

It is an arithmetic number, because the mean of its divisors is an integer number (1881600).

Almost surely, 2^112385988 is an apocalyptic number.

112385988 is a gapful number since it is divisible by the number (18) 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 112385988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180633600).

112385988 is an abundant number, since it is smaller than the sum of its proper divisors (248881212).

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

112385988 is a wasteful number, since it uses less digits than its factorization.

112385988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 431 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 112385988 is about 10601.2257781824. The cubic root of 112385988 is about 482.5815595883.

The spelling of 112385988 in words is "one hundred twelve million, three hundred eighty-five thousand, nine hundred eighty-eight".