11000221320 has 192 divisors, whose sum is σ = 36415229760. Its totient is φ = 2656304640.

The previous prime is 11000221313. The next prime is 11000221367. The reversal of 11000221320 is 2312200011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11000221296 and 11000221305.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4107822 + ... + 4110498.

It is an arithmetic number, because the mean of its divisors is an integer number (189662655).

Almost surely, 2^11000221320 is an apocalyptic number.

11000221320 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 11000221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18207614880).

11000221320 is an abundant number, since it is smaller than the sum of its proper divisors (25415008440).

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

11000221320 is a wasteful number, since it uses less digits than its factorization.

11000221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 11000221320 its reverse (2312200011), we get a palindrome (13312421331).

The spelling of 11000221320 in words is "eleven billion, two hundred twenty-one thousand, three hundred twenty".