112032000 has 216 divisors, whose sum is σ = 404160120. Its totient is φ = 29798400.

The previous prime is 112031981. The next prime is 112032007. The reversal of 112032000 is 230211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13307904 + 98724096 = 3648^2 + 9936^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (112032007) 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, 287806 + ... + 288194.

Almost surely, 2^112032000 is an apocalyptic number.

112032000 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 112032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202080060).

112032000 is an abundant number, since it is smaller than the sum of its proper divisors (292128120).

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

112032000 is an equidigital number, since it uses as much as digits as its factorization.

112032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 112032000 is about 10584.5169941760. The cubic root of 112032000 is about 482.0743559353.

Adding to 112032000 its reverse (230211), we get a palindrome (112262211).

It can be divided in two parts, 11203 and 2000, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 112032000 in words is "one hundred twelve million, thirty-two thousand".