11225200 has 120 divisors (see below), whose sum is σ = 32597120. Its totient is φ = 3628800.

The previous prime is 11225191. The next prime is 11225237. The reversal of 11225200 is 252211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53095 + ... + 53305.

Almost surely, 2^11225200 is an apocalyptic number.

11225200 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 11225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16298560).

11225200 is an abundant number, since it is smaller than the sum of its proper divisors (21371920).

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

11225200 is a wasteful number, since it uses less digits than its factorization.

11225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 11225200 is about 3350.4029608392. The cubic root of 11225200 is about 223.9054660622.

Adding to 11225200 its reverse (252211), we get a palindrome (11477411).

It can be divided in two parts, 112 and 25200, that multiplied together give a square (2822400 = 1680²).

The spelling of 11225200 in words is "eleven million, two hundred twenty-five thousand, two hundred".