112788000 has 288 divisors, whose sum is σ = 432864432. Its totient is φ = 27648000.

The previous prime is 112787981. The next prime is 112788017. The reversal of 112788000 is 887211.

It can be written as a sum of positive squares in 8 ways, for example, as 1527696 + 111260304 = 1236^2 + 10548^2 .

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

It is a super-2 number, since 2×112788000² = 25442265888000000, which contains 22 as substring.

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, 467880 + ... + 468120.

Almost surely, 2^112788000 is an apocalyptic number.

112788000 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 112788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216432216).

112788000 is an abundant number, since it is smaller than the sum of its proper divisors (320076432).

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

112788000 is a wasteful number, since it uses less digits than its factorization.

112788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 112788000 is about 10620.1694901729. The cubic root of 112788000 is about 483.1562834154.

The spelling of 112788000 in words is "one hundred twelve million, seven hundred eighty-eight thousand".