112500288 has 84 divisors (see below), whose sum is σ = 341459820. Its totient is φ = 35291136.

The previous prime is 112500277. The next prime is 112500319. The reversal of 112500288 is 882005211.

It can be written as a sum of positive squares in 2 ways, for example, as 56430144 + 56070144 = 7512^2 + 7488^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4048 + ... + 15536.

Almost surely, 2^112500288 is an apocalyptic number.

112500288 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 112500288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170729910).

112500288 is an abundant number, since it is smaller than the sum of its proper divisors (228959532).

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

112500288 is a wasteful number, since it uses less digits than its factorization.

112500288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11524 (or 11511 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 112500288 is about 10606.6152942397. The cubic root of 112500288 is about 482.7451042446.

Adding to 112500288 its reverse (882005211), we get a palindrome (994505499).

The spelling of 112500288 in words is "one hundred twelve million, five hundred thousand, two hundred eighty-eight".