111327216 has 240 divisors, whose sum is σ = 394224768. Its totient is φ = 26611200.

The previous prime is 111327211. The next prime is 111327217. The reversal of 111327216 is 612723111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111327211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336171 + ... + 336501.

Almost surely, 2^111327216 is an apocalyptic number.

111327216 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 111327216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197112384).

111327216 is an abundant number, since it is smaller than the sum of its proper divisors (282897552).

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

111327216 is a wasteful number, since it uses less digits than its factorization.

111327216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 367 counting only the distinct ones).

The product of its digits is 504, while the sum is 24.

The square root of 111327216 is about 10551.1713093855. The cubic root of 111327216 is about 481.0613321054.

The spelling of 111327216 in words is "one hundred eleven million, three hundred twenty-seven thousand, two hundred sixteen".