11331200 has 48 divisors (see below), whose sum is σ = 27999510. Its totient is φ = 4531200.

The previous prime is 11331169. The next prime is 11331209. The reversal of 11331200 is 213311.

It can be written as a sum of positive squares in 3 ways, for example, as 7974976 + 3356224 = 2824^2 + 1832^2 .

It is not an unprimeable number, because it can be changed into a prime (11331209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1430 + ... + 4970.

Almost surely, 2^11331200 is an apocalyptic number.

11331200 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 11331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13999755).

11331200 is an abundant number, since it is smaller than the sum of its proper divisors (16668310).

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

11331200 is an equidigital number, since it uses as much as digits as its factorization.

11331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 11331200 is about 3366.1847839951. The cubic root of 11331200 is about 224.6080418711.

Adding to 11331200 its reverse (213311), we get a palindrome (11544511).

It can be divided in two parts, 113 and 31200, that added together give a palindrome (31313).

The spelling of 11331200 in words is "eleven million, three hundred thirty-one thousand, two hundred".