11201220000000 has 576 divisors, whose sum is σ = 41406862748160. Its totient is φ = 2986848000000.

The previous prime is 11201219999987. The next prime is 11201220000007. The reversal of 11201220000000 is 2210211.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11201220000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 539989629 + ... + 540010371.

Almost surely, 2^{11201220000000} is an apocalyptic number.

11201220000000 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 11201220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20703431374080).

11201220000000 is an abundant number, since it is smaller than the sum of its proper divisors (30205642748160).

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

11201220000000 is an frugal number, since it uses more digits than its factorization.

11201220000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20803 (or 20753 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11201220000000 its reverse (2210211), we get a palindrome (11201222210211).

The spelling of 11201220000000 in words is "eleven trillion, two hundred one billion, two hundred twenty million", and thus it is an aban number.