112189000 has 256 divisors, whose sum is σ = 345047040. Its totient is φ = 33120000.

The previous prime is 112188991. The next prime is 112189003. The reversal of 112189000 is 981211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (112189003) 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, 2386977 + ... + 2387023.

It is an arithmetic number, because the mean of its divisors is an integer number (1347840).

Almost surely, 2^112189000 is an apocalyptic number.

112189000 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 112189000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172523520).

112189000 is an abundant number, since it is smaller than the sum of its proper divisors (232858040).

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

112189000 is a wasteful number, since it uses less digits than its factorization.

112189000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 112189000 is about 10591.9308910132. The cubic root of 112189000 is about 482.2994414658.

The spelling of 112189000 in words is "one hundred twelve million, one hundred eighty-nine thousand".