11221000000 has 294 divisors, whose sum is σ = 32518529070. Its totient is φ = 3830400000.

The previous prime is 11220999997. The next prime is 11221000051. The reversal of 11221000000 is 12211.

11221000000 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 7 ways, for example, as 10651891264 + 569108736 = 103208^2 + 23856^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

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 41 ways as a sum of consecutive naturals, for example, 48999886 + ... + 49000114.

Almost surely, 2^11221000000 is an apocalyptic number.

11221000000 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 11221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16259264535).

11221000000 is an abundant number, since it is smaller than the sum of its proper divisors (21297529070).

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

11221000000 is an frugal number, since it uses more digits than its factorization.

11221000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 11221000000 its reverse (12211), we get a palindrome (11221012211).

The spelling of 11221000000 in words is "eleven billion, two hundred twenty-one million", and thus it is an aban number.