12481586822880 has 960 divisors, whose sum is σ = 51170240056320. Its totient is φ = 2806150127616.

The previous prime is 12481586822839. The next prime is 12481586822917. The reversal of 12481586822880 is 8822868518421.

12481586822880 is a `hidden beast` number, since 1 + 2 + 48 + 1 + 586 + 8 + 2 + 2 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5974908876 + ... + 5974910964.

It is an arithmetic number, because the mean of its divisors is an integer number (53302333392).

Almost surely, 2^{12481586822880} is an apocalyptic number.

12481586822880 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 12481586822880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25585120028160).

12481586822880 is an abundant number, since it is smaller than the sum of its proper divisors (38688653233440).

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

12481586822880 is a wasteful number, since it uses less digits than its factorization.

12481586822880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 31457280, while the sum is 63.

The spelling of 12481586822880 in words is "twelve trillion, four hundred eighty-one billion, five hundred eighty-six million, eight hundred twenty-two thousand, eight hundred eighty".