12861480000 has 280 divisors, whose sum is σ = 44769044320. Its totient is φ = 3248640000.

The previous prime is 12861479993. The next prime is 12861480007. The reversal of 12861480000 is 8416821.

12861480000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12861479993) and next prime (12861480007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 12861480000.

It is not an unprimeable number, because it can be changed into a prime (12861480007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2277180 + ... + 2282820.

It is an arithmetic number, because the mean of its divisors is an integer number (159889444).

Almost surely, 2^12861480000 is an apocalyptic number.

12861480000 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 12861480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22384522160).

12861480000 is an abundant number, since it is smaller than the sum of its proper divisors (31907564320).

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

12861480000 is an equidigital number, since it uses as much as digits as its factorization.

12861480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5695 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

Adding to 12861480000 its reverse (8416821), we get a palindrome (12869896821).

The spelling of 12861480000 in words is "twelve billion, eight hundred sixty-one million, four hundred eighty thousand".