11000221001200 has 120 divisors (see below), whose sum is σ = 28665124689600. Its totient is φ = 4040253235200.

The previous prime is 11000221001129. The next prime is 11000221001207. The reversal of 11000221001200 is 210012200011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000221001207) 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 23 ways as a sum of consecutive naturals, for example, 19449000 + ... + 20006599.

It is an arithmetic number, because the mean of its divisors is an integer number (238876039080).

Almost surely, 2^{11000221001200} is an apocalyptic number.

11000221001200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000221001200 is an abundant number, since it is smaller than the sum of its proper divisors (17664903688400).

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

11000221001200 is a wasteful number, since it uses less digits than its factorization.

11000221001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39455675 (or 39455664 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11000221001200 its reverse (210012200011), we get a palindrome (11210233201211).

The spelling of 11000221001200 in words is "eleven trillion, two hundred twenty-one million, one thousand, two hundred".