11132200 has 24 divisors (see below), whose sum is σ = 25882830. Its totient is φ = 4452800.

The previous prime is 11132183. The next prime is 11132213. The reversal of 11132200 is 223111.

11132200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7043716 + 4088484 = 2654^2 + 2022^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 27631 + ... + 28030.

Almost surely, 2^11132200 is an apocalyptic number.

11132200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132200 is an abundant number, since it is smaller than the sum of its proper divisors (14750630).

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

11132200 is a wasteful number, since it uses less digits than its factorization.

11132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55677 (or 55668 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11132200 is about 3336.4951670878. The cubic root of 11132200 is about 223.2854034418.

Adding to 11132200 its reverse (223111), we get a palindrome (11355311).

The spelling of 11132200 in words is "eleven million, one hundred thirty-two thousand, two hundred".