11200200320 has 32 divisors (see below), whose sum is σ = 26775480420. Its totient is φ = 4480079872.

The previous prime is 11200200317. The next prime is 11200200367. The reversal of 11200200320 is 2300200211.

It is a happy number.

11200200320 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 2 ways, for example, as 10651891264 + 548309056 = 103208^2 + 23416^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8749517 + ... + 8750796.

Almost surely, 2^11200200320 is an apocalyptic number.

11200200320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200200320 is an abundant number, since it is smaller than the sum of its proper divisors (15575280100).

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

11200200320 is an equidigital number, since it uses as much as digits as its factorization.

11200200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17500332 (or 17500320 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 11200200320 its reverse (2300200211), we get a palindrome (13500400531).

The spelling of 11200200320 in words is "eleven billion, two hundred million, two hundred thousand, three hundred twenty".