11117200 has 30 divisors (see below), whose sum is σ = 26710034. Its totient is φ = 4446720.

The previous prime is 11117123. The next prime is 11117213. The reversal of 11117200 is 271111.

It can be written as a sum of positive squares in 3 ways, for example, as 41616 + 11075584 = 204^2 + 3328^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13497 + ... + 14296.

Almost surely, 2^11117200 is an apocalyptic number.

11117200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11117200 is an abundant number, since it is smaller than the sum of its proper divisors (15592834).

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

11117200 is a wasteful number, since it uses less digits than its factorization.

11117200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27811 (or 27800 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 13.

The square root of 11117200 is about 3334.2465415743. The cubic root of 11117200 is about 223.1850702792.

Adding to 11117200 its reverse (271111), we get a palindrome (11388311).

The spelling of 11117200 in words is "eleven million, one hundred seventeen thousand, two hundred".