11143200 has 72 divisors (see below), whose sum is σ = 36278928. Its totient is φ = 2970880.

The previous prime is 11143199. The next prime is 11143207. The reversal of 11143200 is 234111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11143207) 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, 79 + ... + 4721.

It is an arithmetic number, because the mean of its divisors is an integer number (503874).

Almost surely, 2^11143200 is an apocalyptic number.

11143200 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 11143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139464).

11143200 is an abundant number, since it is smaller than the sum of its proper divisors (25135728).

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

11143200 is a wasteful number, since it uses less digits than its factorization.

11143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 4653 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11143200 is about 3338.1431964492. The cubic root of 11143200 is about 223.3589238269.

Adding to 11143200 its reverse (234111), we get a palindrome (11377311).

The spelling of 11143200 in words is "eleven million, one hundred forty-three thousand, two hundred".