11791200 has 144 divisors (see below), whose sum is σ = 40778640. Its totient is φ = 2959360.

The previous prime is 11791193. The next prime is 11791201. The reversal of 11791200 is 219711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11791201) 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 23 ways as a sum of consecutive naturals, for example, 693592 + ... + 693608.

It is an arithmetic number, because the mean of its divisors is an integer number (283185).

Almost surely, 2^11791200 is an apocalyptic number.

11791200 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 11791200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20389320).

11791200 is an abundant number, since it is smaller than the sum of its proper divisors (28987440).

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

11791200 is an equidigital number, since it uses as much as digits as its factorization.

11791200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 21.

The square root of 11791200 is about 3433.8316790431. The cubic root of 11791200 is about 227.6072030279.

The spelling of 11791200 in words is "eleven million, seven hundred ninety-one thousand, two hundred".