12441323035500 has 384 divisors, whose sum is σ = 40071897815040. Its totient is φ = 2983497932800.

The previous prime is 12441323035499. The next prime is 12441323035513. The reversal of 12441323035500 is 553032314421.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 558923371 + ... + 558945629.

It is an arithmetic number, because the mean of its divisors is an integer number (104353900560).

Almost surely, 2^{12441323035500} is an apocalyptic number.

12441323035500 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 12441323035500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20035948907520).

12441323035500 is an abundant number, since it is smaller than the sum of its proper divisors (27630574779540).

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

12441323035500 is a wasteful number, since it uses less digits than its factorization.

12441323035500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23274 (or 23262 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 12441323035500 its reverse (553032314421), we get a palindrome (12994355349921).

The spelling of 12441323035500 in words is "twelve trillion, four hundred forty-one billion, three hundred twenty-three million, thirty-five thousand, five hundred".