112512 has 32 divisors (see below), whose sum is σ = 299880. Its totient is φ = 37376.

The previous prime is 112507. The next prime is 112543. The reversal of 112512 is 215211.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

112512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238 + ... + 530.

2¹¹²⁵¹² is an apocalyptic number.

112512 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 112512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149940).

112512 is an abundant number, since it is smaller than the sum of its proper divisors (187368).

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

112512 is an equidigital number, since it uses as much as digits as its factorization.

112512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 298 counting only the distinct ones).

The product of its digits is 20, while the sum is 12.

The square root of 112512 is about 335.4280846918. The cubic root of 112512 is about 48.2761855948.

Adding to 112512 its reverse (215211), we get a palindrome (327723).

The spelling of 112512 in words is "one hundred twelve thousand, five hundred twelve".