11445200 has 120 divisors (see below), whose sum is σ = 30998016. Its totient is φ = 4032000.

The previous prime is 11445197. The next prime is 11445209. The reversal of 11445200 is 254411.

11445200 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 (11445209) 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, 161165 + ... + 161235.

Almost surely, 2^11445200 is an apocalyptic number.

11445200 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 11445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15499008).

11445200 is an abundant number, since it is smaller than the sum of its proper divisors (19552816).

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

11445200 is a wasteful number, since it uses less digits than its factorization.

11445200 is an evil number, because the sum of its binary digits is even.

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

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 11445200 is about 3383.0755238392. The cubic root of 11445200 is about 225.3587691916.

Adding to 11445200 its reverse (254411), we get a palindrome (11699611).

The spelling of 11445200 in words is "eleven million, four hundred forty-five thousand, two hundred".