12481313005980 has 576 divisors, whose sum is σ = 46907468375040. Its totient is φ = 2615901032448.

The previous prime is 12481313005961. The next prime is 12481313005981. The reversal of 12481313005980 is 8950031318421.

12481313005980 is a `hidden beast` number, since 1 + 2 + 48 + 1 + 3 + 13 + 0 + 0 + 598 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12481313005981) 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 191 ways as a sum of consecutive naturals, for example, 3832148512 + ... + 3832151768.

It is an arithmetic number, because the mean of its divisors is an integer number (81436577040).

Almost surely, 2^{12481313005980} is an apocalyptic number.

12481313005980 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 12481313005980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23453734187520).

12481313005980 is an abundant number, since it is smaller than the sum of its proper divisors (34426155369060).

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

12481313005980 is a wasteful number, since it uses less digits than its factorization.

12481313005980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4778 (or 4773 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 12481313005980 in words is "twelve trillion, four hundred eighty-one billion, three hundred thirteen million, five thousand, nine hundred eighty".