11139200 has 72 divisors (see below), whose sum is σ = 27991605. Its totient is φ = 4380160.

The previous prime is 11139179. The next prime is 11139203. The reversal of 11139200 is 293111.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 10916416 + 222784 = 3304^2 + 472^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2360.

It is not an unprimeable number, because it can be changed into a prime (11139203) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 188771 + ... + 188829.

Almost surely, 2^11139200 is an apocalyptic number.

11139200 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 11139200

11139200 is an abundant number, since it is smaller than the sum of its proper divisors (16852405).

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

11139200 is an frugal number, since it uses more digits than its factorization.

11139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 11139200 is about 3337.5440072005. The cubic root of 11139200 is about 223.3321947419.

The spelling of 11139200 in words is "eleven million, one hundred thirty-nine thousand, two hundred".