11245200 has 60 divisors (see below), whose sum is σ = 36025968. Its totient is φ = 2998400.

The previous prime is 11245187. The next prime is 11245259. The reversal of 11245200 is 254211.

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 11245200.

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 11 ways as a sum of consecutive naturals, for example, 3486 + ... + 5885.

Almost surely, 2^11245200 is an apocalyptic number.

11245200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11245200 is an abundant number, since it is smaller than the sum of its proper divisors (24780768).

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

11245200 is a wasteful number, since it uses less digits than its factorization.

11245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9392 (or 9381 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 11245200 is about 3353.3863481561. The cubic root of 11245200 is about 224.0383650274.

Adding to 11245200 its reverse (254211), we get a palindrome (11499411).

The spelling of 11245200 in words is "eleven million, two hundred forty-five thousand, two hundred".