111117888 has 252 divisors, whose sum is σ = 385462272. Its totient is φ = 30481920.

The previous prime is 111117883. The next prime is 111117889. The reversal of 111117888 is 888711111.

It is a tau number, because it is divible by the number of its divisors (252).

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 plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (111117883) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 874881 + ... + 875007.

Almost surely, 2^111117888 is an apocalyptic number.

111117888 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 111117888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192731136).

111117888 is an abundant number, since it is smaller than the sum of its proper divisors (274344384).

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

111117888 is a wasteful number, since it uses less digits than its factorization.

111117888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 170 counting only the distinct ones).

The product of its digits is 3584, while the sum is 36.

The square root of 111117888 is about 10541.2469850583. The cubic root of 111117888 is about 480.7596305355.

Adding to 111117888 its reverse (888711111), we get a palindrome (999828999).

The spelling of 111117888 in words is "one hundred eleven million, one hundred seventeen thousand, eight hundred eighty-eight".