11212201101200 has 240 divisors, whose sum is σ = 31183561267200. Its totient is φ = 3833794060800.

The previous prime is 11212201101109. The next prime is 11212201101253. The reversal of 11212201101200 is 210110221211.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5031881 + ... + 6909719.

It is an arithmetic number, because the mean of its divisors is an integer number (129931505280).

Almost surely, 2^{11212201101200} is an apocalyptic number.

11212201101200 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 11212201101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15591780633600).

11212201101200 is an abundant number, since it is smaller than the sum of its proper divisors (19971360166000).

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

11212201101200 is a wasteful number, since it uses less digits than its factorization.

11212201101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877950 (or 1877939 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11212201101200 its reverse (210110221211), we get a palindrome (11422311322411).

The spelling of 11212201101200 in words is "eleven trillion, two hundred twelve billion, two hundred one million, one hundred one thousand, two hundred".