112132000 has 144 divisors (see below), whose sum is σ = 295685208. Its totient is φ = 41779200.

The previous prime is 112131961. The next prime is 112132001. The reversal of 112132000 is 231211.

It can be written as a sum of positive squares in 12 ways, for example, as 364816 + 111767184 = 604^2 + 10572^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (112132001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1155952 + ... + 1156048.

Almost surely, 2^112132000 is an apocalyptic number.

112132000 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 112132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147842604).

112132000 is an abundant number, since it is smaller than the sum of its proper divisors (183553208).

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

112132000 is an equidigital number, since it uses as much as digits as its factorization.

112132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 112132000 is about 10589.2398216303. The cubic root of 112132000 is about 482.2177468098.

Adding to 112132000 its reverse (231211), we get a palindrome (112363211).

The spelling of 112132000 in words is "one hundred twelve million, one hundred thirty-two thousand".