12321141410200 has 192 divisors, whose sum is σ = 32810292864000. Its totient is φ = 4215206615040.

The previous prime is 12321141410141. The next prime is 12321141410203. The reversal of 12321141410200 is 201414112321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321141410203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1472231616 + ... + 1472239984.

It is an arithmetic number, because the mean of its divisors is an integer number (170886942000).

Almost surely, 2^{12321141410200} is an apocalyptic number.

12321141410200 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 12321141410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405146432000).

12321141410200 is an abundant number, since it is smaller than the sum of its proper divisors (20489151453800).

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

12321141410200 is a wasteful number, since it uses less digits than its factorization.

12321141410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10554 (or 10545 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 12321141410200 its reverse (201414112321), we get a palindrome (12522555522521).

The spelling of 12321141410200 in words is "twelve trillion, three hundred twenty-one billion, one hundred forty-one million, four hundred ten thousand, two hundred".