11200441312 has 48 divisors (see below), whose sum is σ = 22583960784. Its totient is φ = 5466240000.

The previous prime is 11200441289. The next prime is 11200441339. The reversal of 11200441312 is 21314400211.

11200441312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11200441312.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 233812 + ... + 277612.

It is an arithmetic number, because the mean of its divisors is an integer number (470499183).

Almost surely, 2^11200441312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11200441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11291980392).

11200441312 is an abundant number, since it is smaller than the sum of its proper divisors (11383519472).

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

11200441312 is a wasteful number, since it uses less digits than its factorization.

11200441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44003 (or 43995 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 11200441312 its reverse (21314400211), we get a palindrome (32514841523).

The spelling of 11200441312 in words is "eleven billion, two hundred million, four hundred forty-one thousand, three hundred twelve".