221112 has 48 divisors (see below), whose sum is σ = 622440. Its totient is φ = 70848.

The previous prime is 221101. The next prime is 221159. The reversal of 221112 is 211122.

221112 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 15.

It is a junction number, because it is equal to n+sod(n) for n = 221094 and 221103.

It is a congruent number.

It is an unprimeable number.

221112 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 11 ways as a sum of consecutive naturals, for example, 2623 + ... + 2705.

2²²¹¹¹² 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 221112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311220).

221112 is an abundant number, since it is smaller than the sum of its proper divisors (401328).

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

221112 is a wasteful number, since it uses less digits than its factorization.

221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its digits is 8, while the sum is 9.

The square root of 221112 is about 470.2254778295. The cubic root of 221112 is about 60.4696475940.

Adding to 221112 its reverse (211122), we get a palindrome (432234).

It can be divided in two parts, 221 and 112, that added together give a palindrome (333).

The spelling of 221112 in words is "two hundred twenty-one thousand, one hundred twelve", and thus it is an iban number.