11811200 has 48 divisors (see below), whose sum is σ = 29185260. Its totient is φ = 4723200.

The previous prime is 11811193. The next prime is 11811203. The reversal of 11811200 is 211811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11811203) 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, 1355 + ... + 5045.

Almost surely, 2^11811200 is an apocalyptic number.

11811200 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 11811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14592630).

11811200 is an abundant number, since it is smaller than the sum of its proper divisors (17374060).

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

11811200 is an equidigital number, since it uses as much as digits as its factorization.

11811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3715 (or 3698 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

The square root of 11811200 is about 3436.7426438417. The cubic root of 11811200 is about 227.7358179478.

It can be divided in two parts, 11 and 811200, that multiplied together give a triangular number (8923200 = T₄₂₂₄).

The spelling of 11811200 in words is "eleven million, eight hundred eleven thousand, two hundred".