111321216 has 112 divisors (see below), whose sum is σ = 332785710. Its totient is φ = 37075968.

The previous prime is 111321179. The next prime is 111321229. The reversal of 111321216 is 612123111.

It can be written as a sum of positive squares in only one way, i.e., 94478400 + 16842816 = 9720^2 + 4104^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 13 ways as a sum of consecutive naturals, for example, 92716 + ... + 93908.

Almost surely, 2^111321216 is an apocalyptic number.

111321216 is a gapful number since it is divisible by the number (16) 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 111321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166392855).

111321216 is an abundant number, since it is smaller than the sum of its proper divisors (221464494).

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

111321216 is an frugal number, since it uses more digits than its factorization.

111321216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1198 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 111321216 is about 10550.8869769323. The cubic root of 111321216 is about 481.0526896550.

Adding to 111321216 its reverse (612123111), we get a palindrome (723444327).

The spelling of 111321216 in words is "one hundred eleven million, three hundred twenty-one thousand, two hundred sixteen".