12886231680000 has 3960 divisors, whose sum is σ = 59705951104800. Its totient is φ = 2759049216000.

The previous prime is 12886231679989. The next prime is 12886231680013. The reversal of 12886231680000 is 8613268821.

12886231680000 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 623 + 16 + 8 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 144789119956 + ... + 144789120044.

It is an arithmetic number, because the mean of its divisors is an integer number (15077260380).

Almost surely, 2^{12886231680000} is an apocalyptic number.

12886231680000 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 12886231680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29852975552400).

12886231680000 is an abundant number, since it is smaller than the sum of its proper divisors (46819719424800).

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

12886231680000 is an frugal number, since it uses more digits than its factorization.

12886231680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 12886231680000 in words is "twelve trillion, eight hundred eighty-six billion, two hundred thirty-one million, six hundred eighty thousand".