11241200 has 60 divisors (see below), whose sum is σ = 27330840. Its totient is φ = 4442880.

The previous prime is 11241187. The next prime is 11241203. The reversal of 11241200 is 214211.

11241200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11241203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62711 + ... + 62889.

It is an arithmetic number, because the mean of its divisors is an integer number (455514).

Almost surely, 2^11241200 is an apocalyptic number.

11241200 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 11241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13665420).

11241200 is an abundant number, since it is smaller than the sum of its proper divisors (16089640).

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

11241200 is a wasteful number, since it uses less digits than its factorization.

11241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 11241200 is about 3352.7898830675. The cubic root of 11241200 is about 224.0117978480.

Adding to 11241200 its reverse (214211), we get a palindrome (11455411).

The spelling of 11241200 in words is "eleven million, two hundred forty-one thousand, two hundred".