11280200 has 24 divisors (see below), whose sum is σ = 26226930. Its totient is φ = 4512000.

The previous prime is 11280193. The next prime is 11280211. The reversal of 11280200 is 208211.

It can be written as a sum of positive squares in 3 ways, for example, as 8988004 + 2292196 = 2998^2 + 1514^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 28001 + ... + 28400.

Almost surely, 2^11280200 is an apocalyptic number.

11280200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11280200 is an abundant number, since it is smaller than the sum of its proper divisors (14946730).

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

11280200 is a wasteful number, since it uses less digits than its factorization.

11280200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56417 (or 56408 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 11280200 is about 3358.6008991841. The cubic root of 11280200 is about 224.2705595513.

Adding to 11280200 its reverse (208211), we get a palindrome (11488411).

The spelling of 11280200 in words is "eleven million, two hundred eighty thousand, two hundred".