11211232201200 has 720 divisors, whose sum is σ = 39624090476256. Its totient is φ = 2935200153600.

The previous prime is 11211232201177. The next prime is 11211232201201. The reversal of 11211232201200 is 210223211211.

11211232201200 is a `hidden beast` number, since 1 + 1 + 211 + 232 + 20 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211232201201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28239879402 + ... + 28239879798.

Almost surely, 2^{11211232201200} is an apocalyptic number.

11211232201200 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 11211232201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19812045238128).

11211232201200 is an abundant number, since it is smaller than the sum of its proper divisors (28412858275056).

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

11211232201200 is a wasteful number, since it uses less digits than its factorization.

11211232201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11211232201200 its reverse (210223211211), we get a palindrome (11421455412411).

The spelling of 11211232201200 in words is "eleven trillion, two hundred eleven billion, two hundred thirty-two million, two hundred one thousand, two hundred".