11205222304 has 96 divisors (see below), whose sum is σ = 23662679040. Its totient is φ = 5211494400.

The previous prime is 11205222293. The next prime is 11205222311. The reversal of 11205222304 is 40322250211.

It is a happy number.

11205222304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 7565244 + ... + 7566724.

It is an arithmetic number, because the mean of its divisors is an integer number (246486240).

Almost surely, 2^11205222304 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 11205222304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11831339520).

11205222304 is an abundant number, since it is smaller than the sum of its proper divisors (12457456736).

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

11205222304 is a wasteful number, since it uses less digits than its factorization.

11205222304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 11205222304 its reverse (40322250211), we get a palindrome (51527472515).

The spelling of 11205222304 in words is "eleven billion, two hundred five million, two hundred twenty-two thousand, three hundred four".