11112800 has 72 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 4282880.

The previous prime is 11112769. The next prime is 11112809. The reversal of 11112800 is 821111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11112809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22961 + ... + 23439.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 2^11112800 is an apocalyptic number.

11112800 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 11112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

11112800 is an abundant number, since it is smaller than the sum of its proper divisors (17010400).

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

11112800 is a wasteful number, since it uses less digits than its factorization.

11112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

The square root of 11112800 is about 3333.5866570407. The cubic root of 11112800 is about 223.1556221000.

Adding to 11112800 its reverse (821111), we get a palindrome (11933911).

The spelling of 11112800 in words is "eleven million, one hundred twelve thousand, eight hundred".