111427200 has 288 divisors, whose sum is σ = 410648940. Its totient is φ = 28753920.

The previous prime is 111427171. The next prime is 111427213. The reversal of 111427200 is 2724111.

It can be written as a sum of positive squares in 6 ways, for example, as 56430144 + 54997056 = 7512^2 + 7416^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1526364 + ... + 1526436.

Almost surely, 2^111427200 is an apocalyptic number.

111427200 is a gapful number since it is divisible by the number (10) 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 111427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205324470).

111427200 is an abundant number, since it is smaller than the sum of its proper divisors (299221740).

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

111427200 is a wasteful number, since it uses less digits than its factorization.

111427200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 111427200 is about 10555.9082981996. The cubic root of 111427200 is about 481.2053042203.

The spelling of 111427200 in words is "one hundred eleven million, four hundred twenty-seven thousand, two hundred".