112509882 has 48 divisors (see below), whose sum is σ = 255415680. Its totient is φ = 35725536.

The previous prime is 112509877. The next prime is 112509883. The reversal of 112509882 is 288905211.

It is not an unprimeable number, because it can be changed into a prime (112509883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148248 + ... + 149004.

It is an arithmetic number, because the mean of its divisors is an integer number (5321160).

Almost surely, 2^112509882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112509882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127707840).

112509882 is an abundant number, since it is smaller than the sum of its proper divisors (142905798).

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

112509882 is a wasteful number, since it uses less digits than its factorization.

112509882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 112509882 is about 10607.0675495162. The cubic root of 112509882 is about 482.7588266536.

The spelling of 112509882 in words is "one hundred twelve million, five hundred nine thousand, eight hundred eighty-two".