221111112 has 128 divisors (see below), whose sum is σ = 611331840. Its totient is φ = 66355200.

The previous prime is 221111063. The next prime is 221111123. The reversal of 221111112 is 211111122.

221111112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1464237 + ... + 1464387.

It is an arithmetic number, because the mean of its divisors is an integer number (4776030).

Almost surely, 2^221111112 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 221111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305665920).

221111112 is an abundant number, since it is smaller than the sum of its proper divisors (390220728).

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

221111112 is a wasteful number, since it uses less digits than its factorization.

221111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its digits is 8, while the sum is 12.

The square root of 221111112 is about 14869.8053786860. The cubic root of 221111112 is about 604.6956664389.

Adding to 221111112 its reverse (211111122), we get a palindrome (432222234).

It can be divided in two parts, 2 and 21111112, that multiplied together give a palindrome (42222224).

The spelling of 221111112 in words is "two hundred twenty-one million, one hundred eleven thousand, one hundred twelve".