11201200 has 60 divisors (see below), whose sum is σ = 27607608. Its totient is φ = 4364800.

The previous prime is 11201189. The next prime is 11201219. The reversal of 11201200 is 210211.

11201200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16059 + ... + 16741.

Almost surely, 2^11201200 is an apocalyptic number.

11201200 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 11201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13803804).

11201200 is an abundant number, since it is smaller than the sum of its proper divisors (16406408).

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

11201200 is a wasteful number, since it uses less digits than its factorization.

11201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 11201200 is about 3346.8193856257. The cubic root of 11201200 is about 223.7457787662.

Adding to 11201200 its reverse (210211), we get a palindrome (11411411).

The spelling of 11201200 in words is "eleven million, two hundred one thousand, two hundred".