12861306963072 has 512 divisors, whose sum is σ = 42331474022400. Its totient is φ = 3823375564800.

The previous prime is 12861306963059. The next prime is 12861306963083. The reversal of 12861306963072 is 27036960316821.

12861306963072 is a `hidden beast` number, since 1 + 28 + 6 + 1 + 306 + 9 + 6 + 307 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144544197 + ... + 144633147.

It is an arithmetic number, because the mean of its divisors is an integer number (82678660200).

Almost surely, 2^{12861306963072} is an apocalyptic number.

12861306963072 is a gapful number since it is divisible by the number (12) 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 12861306963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21165737011200).

12861306963072 is an abundant number, since it is smaller than the sum of its proper divisors (29470167059328).

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

12861306963072 is a wasteful number, since it uses less digits than its factorization.

12861306963072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89121 (or 89103 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 12861306963072 in words is "twelve trillion, eight hundred sixty-one billion, three hundred six million, nine hundred sixty-three thousand, seventy-two".