11189200 has 60 divisors (see below), whose sum is σ = 29337408. Its totient is φ = 4067200.

The previous prime is 11189197. The next prime is 11189203. The reversal of 11189200 is 298111.

It is an interprime number because it is at equal distance from previous prime (11189197) and next prime (11189203).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11189203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3129 + ... + 5671.

Almost surely, 2^11189200 is an apocalyptic number.

11189200 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 11189200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14668704).

11189200 is an abundant number, since it is smaller than the sum of its proper divisors (18148208).

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

11189200 is a wasteful number, since it uses less digits than its factorization.

11189200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The square root of 11189200 is about 3345.0261583432. The cubic root of 11189200 is about 223.6658495704.

The spelling of 11189200 in words is "eleven million, one hundred eighty-nine thousand, two hundred".