11317200 has 60 divisors (see below), whose sum is σ = 36256608. Its totient is φ = 3017600.

The previous prime is 11317199. The next prime is 11317211. The reversal of 11317200 is 271311.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11317200.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3516 + ... + 5915.

Almost surely, 2^11317200 is an apocalyptic number.

11317200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11317200 is an abundant number, since it is smaller than the sum of its proper divisors (24939408).

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

11317200 is a wasteful number, since it uses less digits than its factorization.

11317200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9452 (or 9441 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 11317200 is about 3364.1046357092. The cubic root of 11317200 is about 224.5155006716.

Adding to 11317200 its reverse (271311), we get a palindrome (11588511).

The spelling of 11317200 in words is "eleven million, three hundred seventeen thousand, two hundred".