11261200 has 60 divisors (see below), whose sum is σ = 27676800. Its totient is φ = 4401280.

The previous prime is 11261189. The next prime is 11261203. The reversal of 11261200 is 216211.

It is not an unprimeable number, because it can be changed into a prime (11261203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18501 + ... + 19099.

It is an arithmetic number, because the mean of its divisors is an integer number (461280).

Almost surely, 2^11261200 is an apocalyptic number.

11261200 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 11261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13838400).

11261200 is an abundant number, since it is smaller than the sum of its proper divisors (16415600).

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

11261200 is a wasteful number, since it uses less digits than its factorization.

11261200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 11261200 is about 3355.7711483354. The cubic root of 11261200 is about 224.1445707888.

Adding to 11261200 its reverse (216211), we get a palindrome (11477411).

The spelling of 11261200 in words is "eleven million, two hundred sixty-one thousand, two hundred".