11431200 has 144 divisors (see below), whose sum is σ = 40684896. Its totient is φ = 2764800.

The previous prime is 11431183. The next prime is 11431223. The reversal of 11431200 is 213411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 26184 + ... + 26616.

It is an arithmetic number, because the mean of its divisors is an integer number (282534).

Almost surely, 2^11431200 is an apocalyptic number.

11431200 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 11431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20342448).

11431200 is an abundant number, since it is smaller than the sum of its proper divisors (29253696).

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

11431200 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (11431199) it forms an eRAP, since the sums of their prime factors are consecutive (466 and 467).

11431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11431200 is about 3381.0057675195. The cubic root of 11431200 is about 225.2668438991.

Adding to 11431200 its reverse (213411), we get a palindrome (11644611).

The spelling of 11431200 in words is "eleven million, four hundred thirty-one thousand, two hundred".