12581376000 has 208 divisors, whose sum is σ = 41870819328. Its totient is φ = 3354624000.

The previous prime is 12581375987. The next prime is 12581376001. The reversal of 12581376000 is 67318521.

It is not an unprimeable number, because it can be changed into a prime (12581376001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1531905 + ... + 1540095.

It is an arithmetic number, because the mean of its divisors is an integer number (201302016).

Almost surely, 2^12581376000 is an apocalyptic number.

12581376000 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 12581376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20935409664).

12581376000 is an abundant number, since it is smaller than the sum of its proper divisors (29289443328).

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

12581376000 is an frugal number, since it uses more digits than its factorization.

12581376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 12581376000 in words is "twelve billion, five hundred eighty-one million, three hundred seventy-six thousand".