11203200 has 144 divisors (see below), whose sum is σ = 40078350. Its totient is φ = 2979840.

The previous prime is 11203169. The next prime is 11203201. The reversal of 11203200 is 230211.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6843456 + 4359744 = 2616^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11203201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28606 + ... + 28994.

Almost surely, 2^11203200 is an apocalyptic number.

11203200 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 11203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20039175).

11203200 is an abundant number, since it is smaller than the sum of its proper divisors (28875150).

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

11203200 is a wasteful number, since it uses less digits than its factorization.

11203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 11203200 is about 3347.1181634355. The cubic root of 11203200 is about 223.7590947480.

Adding to 11203200 its reverse (230211), we get a palindrome (11433411).

The spelling of 11203200 in words is "eleven million, two hundred three thousand, two hundred".