11325200 has 60 divisors (see below), whose sum is σ = 28414848. Its totient is φ = 4329600.

The previous prime is 11325187. The next prime is 11325221. The reversal of 11325200 is 252311.

It is a happy number.

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, 8585 + ... + 9815.

Almost surely, 2^11325200 is an apocalyptic number.

11325200 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 11325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14207424).

11325200 is an abundant number, since it is smaller than the sum of its proper divisors (17089648).

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

11325200 is a wasteful number, since it uses less digits than its factorization.

11325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 11325200 is about 3365.2934493146. The cubic root of 11325200 is about 224.5683906960.

Adding to 11325200 its reverse (252311), we get a palindrome (11577511).

The spelling of 11325200 in words is "eleven million, three hundred twenty-five thousand, two hundred".