11001809221200 has 900 divisors, whose sum is σ = 46999533667680. Its totient is φ = 2456202631680.

The previous prime is 11001809221171. The next prime is 11001809221297. The reversal of 11001809221200 is 212290810011.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×11001809221200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 68186221 + ... + 68347379.

Almost surely, 2^{11001809221200} is an apocalyptic number.

11001809221200 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 11001809221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23499766833840).

11001809221200 is an abundant number, since it is smaller than the sum of its proper divisors (35997724446480).

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

11001809221200 is a wasteful number, since it uses less digits than its factorization.

11001809221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161246 (or 161219 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 11001809221200 in words is "eleven trillion, one billion, eight hundred nine million, two hundred twenty-one thousand, two hundred".