11001240224 has 60 divisors (see below), whose sum is σ = 23465468754. Its totient is φ = 5077073664.

The previous prime is 11001240221. The next prime is 11001240287. The reversal of 11001240224 is 42204210011.

11001240224 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 5 ways, for example, as 4958976400 + 6042263824 = 70420^2 + 77732^2 .

It is not an unprimeable number, because it can be changed into a prime (11001240221) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 907934 + ... + 919970.

Almost surely, 2^11001240224 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 11001240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11732734377).

11001240224 is an abundant number, since it is smaller than the sum of its proper divisors (12464228530).

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

11001240224 is an frugal number, since it uses more digits than its factorization.

11001240224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12099 (or 12052 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 11001240224 its reverse (42204210011), we get a palindrome (53205450235).

The spelling of 11001240224 in words is "eleven billion, one million, two hundred forty thousand, two hundred twenty-four".