12343241241100 has 144 divisors (see below), whose sum is σ = 33437975832576. Its totient is φ = 3842186688000.

The previous prime is 12343241241049. The next prime is 12343241241101. The reversal of 12343241241100 is 114214234321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (12343241241101) 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 47 ways as a sum of consecutive naturals, for example, 4806469 + ... + 6912931.

It is an arithmetic number, because the mean of its divisors is an integer number (232208165504).

Almost surely, 2^{12343241241100} is an apocalyptic number.

12343241241100 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 12343241241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16718987916288).

12343241241100 is an abundant number, since it is smaller than the sum of its proper divisors (21094734591476).

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

12343241241100 is a wasteful number, since it uses less digits than its factorization.

12343241241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107256 (or 2107249 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 12343241241100 its reverse (114214234321), we get a palindrome (12457455475421).

The spelling of 12343241241100 in words is "twelve trillion, three hundred forty-three billion, two hundred forty-one million, two hundred forty-one thousand, one hundred".