11281200 has 240 divisors, whose sum is σ = 44282880. Its totient is φ = 2396160.

The previous prime is 11281199. The next prime is 11281211. The reversal of 11281200 is 218211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11281200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142761 + ... + 142839.

It is an arithmetic number, because the mean of its divisors is an integer number (184512).

Almost surely, 2^11281200 is an apocalyptic number.

11281200 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 11281200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22141440).

11281200 is an abundant number, since it is smaller than the sum of its proper divisors (33001680).

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

11281200 is a wasteful number, since it uses less digits than its factorization.

11281200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 11281200 is about 3358.7497673986. The cubic root of 11281200 is about 224.2771866185.

Adding to 11281200 its reverse (218211), we get a palindrome (11499411).

The spelling of 11281200 in words is "eleven million, two hundred eighty-one thousand, two hundred".