112216 has 24 divisors (see below), whose sum is σ = 230580. Its totient is φ = 51168.

The previous prime is 112213. The next prime is 112223. The reversal of 112216 is 612211.

It is a Harshad number since it is a multiple of its sum of digits (13).

112216 is a modest number, since divided by 216 gives 112 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 112196 and 112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1311 + ... + 1393.

2¹¹²²¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115290).

112216 is an abundant number, since it is smaller than the sum of its proper divisors (118364).

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

112216 is a wasteful number, since it uses less digits than its factorization.

112216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 98 counting only the distinct ones).

The product of its digits is 24, while the sum is 13.

The square root of 112216 is about 334.9865668949. The cubic root of 112216 is about 48.2338129277.

Adding to 112216 its reverse (612211), we get a palindrome (724427).

The spelling of 112216 in words is "one hundred twelve thousand, two hundred sixteen".