12441304512 has 672 divisors, whose sum is σ = 46597824000. Its totient is φ = 3203960832.

The previous prime is 12441304459. The next prime is 12441304549. The reversal of 12441304512 is 21540314421.

12441304512 is a `hidden beast` number, since 12 + 4 + 4 + 130 + 4 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83498614 + ... + 83498762.

It is an arithmetic number, because the mean of its divisors is an integer number (69342000).

Almost surely, 2^12441304512 is an apocalyptic number.

12441304512 is a gapful number since it is divisible by the number (12) 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 12441304512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23298912000).

12441304512 is an abundant number, since it is smaller than the sum of its proper divisors (34156519488).

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

12441304512 is a wasteful number, since it uses less digits than its factorization.

12441304512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 12441304512 its reverse (21540314421), we get a palindrome (33981618933).

Subtracting 12441304512 from its reverse (21540314421), we obtain a palindrome (9099009909).

The spelling of 12441304512 in words is "twelve billion, four hundred forty-one million, three hundred four thousand, five hundred twelve".