112080 has 40 divisors (see below), whose sum is σ = 348192. Its totient is φ = 29824.

The previous prime is 112069. The next prime is 112087. The reversal of 112080 is 80211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112087) by changing a digit.

112080 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 7 ways as a sum of consecutive naturals, for example, 7 + ... + 473.

2¹¹²⁰⁸⁰ is an apocalyptic number.

112080 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 112080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174096).

112080 is an abundant number, since it is smaller than the sum of its proper divisors (236112).

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

112080 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (112079) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (477).

112080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 112080 is about 334.7835121388. The cubic root of 112080 is about 48.2143194199.

Adding to 112080 its reverse (80211), we get a palindrome (192291).

The spelling of 112080 in words is "one hundred twelve thousand, eighty".