12481159680 has 600 divisors, whose sum is σ = 48833130060. Its totient is φ = 2943959040.

The previous prime is 12481159673. The next prime is 12481159711. The reversal of 12481159680 is 8695118421.

It is a happy number.

12481159680 is a `hidden beast` number, since 1 + 2 + 48 + 11 + 596 + 8 + 0 = 666.

12481159680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12177563904 + 303595776 = 110352^2 + 17424^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 337328622 + ... + 337328658.

Almost surely, 2^12481159680 is an apocalyptic number.

12481159680 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 12481159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24416565030).

12481159680 is an abundant number, since it is smaller than the sum of its proper divisors (36351970380).

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

12481159680 is an frugal number, since it uses more digits than its factorization.

12481159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 12481159680 in words is "twelve billion, four hundred eighty-one million, one hundred fifty-nine thousand, six hundred eighty".