12011313331200 has 528 divisors, whose sum is σ = 42007892322816. Its totient is φ = 3020572262400.

The previous prime is 12011313331189. The next prime is 12011313331243. The reversal of 12011313331200 is 213331311021.

It is a happy number.

It is a super-5 number, since 5×12011313331200⁵ (a number of 67 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 125366514 + ... + 125462286.

Almost surely, 2^{12011313331200} is an apocalyptic number.

12011313331200 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 12011313331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21003946161408).

12011313331200 is an abundant number, since it is smaller than the sum of its proper divisors (29996578991616).

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

12011313331200 is a wasteful number, since it uses less digits than its factorization.

12011313331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95900 (or 95877 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12011313331200 its reverse (213331311021), we get a palindrome (12224644642221).

The spelling of 12011313331200 in words is "twelve trillion, eleven billion, three hundred thirteen million, three hundred thirty-one thousand, two hundred".