11541200 has 120 divisors (see below), whose sum is σ = 31459296. Its totient is φ = 4032000.

The previous prime is 11541199. The next prime is 11541209. The reversal of 11541200 is 214511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11541209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189170 + ... + 189230.

Almost surely, 2^11541200 is an apocalyptic number.

11541200 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 11541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15729648).

11541200 is an abundant number, since it is smaller than the sum of its proper divisors (19918096).

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

11541200 is a wasteful number, since it uses less digits than its factorization.

11541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 11541200 is about 3397.2341691441. The cubic root of 11541200 is about 225.9871034487.

Adding to 11541200 its reverse (214511), we get a palindrome (11755711).

The spelling of 11541200 in words is "eleven million, five hundred forty-one thousand, two hundred".