22116 has 24 divisors (see below), whose sum is σ = 54880. Its totient is φ = 6912.

The previous prime is 22111. The next prime is 22123. The reversal of 22116 is 61122.

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.

It is not an unprimeable number, because it can be changed into a prime (22111) by changing a digit.

22116 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 180 + ... + 276.

2²²¹¹⁶ 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 22116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27440).

22116 is an abundant number, since it is smaller than the sum of its proper divisors (32764).

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

22116 is a wasteful number, since it uses less digits than its factorization.

22116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 121 counting only the distinct ones).

The product of its digits is 24, while the sum is 12.

The square root of 22116 is about 148.7144915602. The cubic root of 22116 is about 28.0695549662.

Adding to 22116 its reverse (61122), we get a palindrome (83238).

It can be divided in two parts, 22 and 116, that multiplied together give a palindrome (2552).

The spelling of 22116 in words is "twenty-two thousand, one hundred sixteen".