112188132 has 96 divisors (see below), whose sum is σ = 343203840. Its totient is φ = 31013280.

The previous prime is 112188127. The next prime is 112188199. The reversal of 112188132 is 231881211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112188096 and 112188105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21043 + ... + 25829.

It is an arithmetic number, because the mean of its divisors is an integer number (3575040).

Almost surely, 2^112188132 is an apocalyptic number.

112188132 is a gapful number since it is divisible by the number (12) 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 112188132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171601920).

112188132 is an abundant number, since it is smaller than the sum of its proper divisors (231015708).

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

112188132 is a wasteful number, since it uses less digits than its factorization.

112188132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4830 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 112188132 is about 10591.8899163464. The cubic root of 112188132 is about 482.2981976213.

It can be divided in two parts, 1121 and 88132, that added together give a triangular number (89253 = T₄₂₂).

The spelling of 112188132 in words is "one hundred twelve million, one hundred eighty-eight thousand, one hundred thirty-two".