11187200 has 132 divisors (see below), whose sum is σ = 30459360. Its totient is φ = 4055040.

The previous prime is 11187161. The next prime is 11187203. The reversal of 11187200 is 278111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11187203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 486389 + ... + 486411.

Almost surely, 2^11187200 is an apocalyptic number.

11187200 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 11187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15229680).

11187200 is an abundant number, since it is smaller than the sum of its proper divisors (19272160).

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

11187200 is a wasteful number, since it uses less digits than its factorization.

11187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 20.

The square root of 11187200 is about 3344.7271936587. The cubic root of 11187200 is about 223.6525224826.

The spelling of 11187200 in words is "eleven million, one hundred eighty-seven thousand, two hundred".