112000 has 64 divisors (see below), whose sum is σ = 318240. Its totient is φ = 38400.

The previous prime is 111997. The next prime is 112019. The reversal of 112000 is 211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15997 + ... + 16003.

2¹¹²⁰⁰⁰ is an apocalyptic number.

112000 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 112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159120).

112000 is an abundant number, since it is smaller than the sum of its proper divisors (206240).

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

112000 is an frugal number, since it uses more digits than its factorization.

112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 112000 is about 334.6640106136. The cubic root of 112000 is about 48.2028452835.

Adding to 112000 its reverse (211), we get a palindrome (112211).

The spelling of 112000 in words is "one hundred twelve thousand", and thus it is an iban number.