11201204665500 has 192 divisors, whose sum is σ = 34156376497152. Its totient is φ = 2847020563200.

The previous prime is 11201204665471. The next prime is 11201204665501. The reversal of 11201204665500 is 556640210211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201204665501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9189874 + ... + 10337126.

It is an arithmetic number, because the mean of its divisors is an integer number (177897794256).

Almost surely, 2^{11201204665500} is an apocalyptic number.

11201204665500 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 11201204665500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17078188248576).

11201204665500 is an abundant number, since it is smaller than the sum of its proper divisors (22955171831652).

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

11201204665500 is a wasteful number, since it uses less digits than its factorization.

11201204665500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147581 (or 1147569 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

Adding to 11201204665500 its reverse (556640210211), we get a palindrome (11757844875711).

The spelling of 11201204665500 in words is "eleven trillion, two hundred one billion, two hundred four million, six hundred sixty-five thousand, five hundred".