111978288 has 120 divisors (see below), whose sum is σ = 329853888. Its totient is φ = 36770112.

The previous prime is 111978271. The next prime is 111978301. The reversal of 111978288 is 882879111.

It is a happy number.

It is a super-3 number, since 3×111978288³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 322531 + ... + 322877.

Almost surely, 2^111978288 is an apocalyptic number.

111978288 is a gapful number since it is divisible by the number (18) 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 111978288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164926944).

111978288 is an abundant number, since it is smaller than the sum of its proper divisors (217875600).

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

111978288 is an equidigital number, since it uses as much as digits as its factorization.

111978288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 435 counting only the distinct ones).

The product of its digits is 64512, while the sum is 45.

The square root of 111978288 is about 10581.9793989593. The cubic root of 111978288 is about 481.9973026025.

The spelling of 111978288 in words is "one hundred eleven million, nine hundred seventy-eight thousand, two hundred eighty-eight".