12011230213200 has 720 divisors, whose sum is σ = 43353791273520. Its totient is φ = 3076917166080.

The previous prime is 12011230213183. The next prime is 12011230213201. The reversal of 12011230213200 is 231203211021.

12011230213200 is a `hidden beast` number, since 1 + 20 + 1 + 1 + 230 + 213 + 200 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 7956935206416 + 4054295006784 = 2820804^2 + 2013528^2 .

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 (12011230213201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7196661966 + ... + 7196663634.

It is an arithmetic number, because the mean of its divisors is an integer number (60213598991).

Almost surely, 2^{12011230213200} is an apocalyptic number.

12011230213200 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 12011230213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21676895636760).

12011230213200 is an abundant number, since it is smaller than the sum of its proper divisors (31342561060320).

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

12011230213200 is a wasteful number, since it uses less digits than its factorization.

12011230213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12011230213200 its reverse (231203211021), we get a palindrome (12242433424221).

The spelling of 12011230213200 in words is "twelve trillion, eleven billion, two hundred thirty million, two hundred thirteen thousand, two hundred".