11201331221200 has 480 divisors, whose sum is σ = 28556435128320. Its totient is φ = 4216942080000.

The previous prime is 11201331221153. The next prime is 11201331221207. The reversal of 11201331221200 is 212213310211.

It is a super-2 number, since 2×11201331221200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201331221207) 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 95 ways as a sum of consecutive naturals, for example, 24510571372 + ... + 24510571828.

It is an arithmetic number, because the mean of its divisors is an integer number (59492573184).

Almost surely, 2^{11201331221200} is an apocalyptic number.

11201331221200 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 11201331221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14278217564160).

11201331221200 is an abundant number, since it is smaller than the sum of its proper divisors (17355103907120).

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

11201331221200 is a wasteful number, since it uses less digits than its factorization.

11201331221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11201331221200 its reverse (212213310211), we get a palindrome (11413544531411).

The spelling of 11201331221200 in words is "eleven trillion, two hundred one billion, three hundred thirty-one million, two hundred twenty-one thousand, two hundred".