111966912 has 84 divisors (see below), whose sum is σ = 332049120. Its totient is φ = 36029952.

The previous prime is 111966893. The next prime is 111966919. The reversal of 111966912 is 219669111.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (111966919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13353 + ... + 20055.

Almost surely, 2^111966912 is an apocalyptic number.

111966912 is a gapful number since it is divisible by the number (12) 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 111966912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166024560).

111966912 is an abundant number, since it is smaller than the sum of its proper divisors (220082208).

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

111966912 is a wasteful number, since it uses less digits than its factorization.

111966912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6750 (or 6737 counting only the distinct ones).

The product of its digits is 5832, while the sum is 36.

The square root of 111966912 is about 10581.4418677229. The cubic root of 111966912 is about 481.9809798340.

The spelling of 111966912 in words is "one hundred eleven million, nine hundred sixty-six thousand, nine hundred twelve".