11381200 has 60 divisors (see below), whose sum is σ = 28118860. Its totient is φ = 4423680.

The previous prime is 11381189. The next prime is 11381203. The reversal of 11381200 is 218311.

11381200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10816 + 11370384 = 104^2 + 3372^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11381203) 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, 14416 + ... + 15184.

Almost surely, 2^11381200 is an apocalyptic number.

11381200 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 11381200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14059430).

11381200 is an abundant number, since it is smaller than the sum of its proper divisors (16737660).

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

11381200 is a wasteful number, since it uses less digits than its factorization.

11381200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 11381200 is about 3373.6034147481. The cubic root of 11381200 is about 224.9379252627.

Adding to 11381200 its reverse (218311), we get a palindrome (11599511).

The spelling of 11381200 in words is "eleven million, three hundred eighty-one thousand, two hundred".