112224 has 48 divisors (see below), whose sum is σ = 338688. Its totient is φ = 31872.

The previous prime is 112223. The next prime is 112237. The reversal of 112224 is 422211.

It is a Cunningham number, because it is equal to 335²-1.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 589 + ... + 755.

It is an arithmetic number, because the mean of its divisors is an integer number (7056).

2¹¹²²²⁴ is an apocalyptic number.

112224 is a gapful number since it is divisible by the number (14) 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 112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344).

112224 is an abundant number, since it is smaller than the sum of its proper divisors (226464).

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

112224 is a wasteful number, since it uses less digits than its factorization.

112224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its digits is 32, while the sum is 12.

The square root of 112224 is about 334.9985074594. The cubic root of 112224 is about 48.2349591140.

Adding to 112224 its reverse (422211), we get a palindrome (534435).

The spelling of 112224 in words is "one hundred twelve thousand, two hundred twenty-four", and thus it is an iban number.