12778801386000 has 1280 divisors, whose sum is σ = 47998127923200. Its totient is φ = 2898478080000.

The previous prime is 12778801385939. The next prime is 12778801386037. The reversal of 12778801386000 is 68310887721.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8831237277 + ... + 8831238723.

It is an arithmetic number, because the mean of its divisors is an integer number (37498537440).

Almost surely, 2^{12778801386000} is an apocalyptic number.

12778801386000 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 12778801386000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23999063961600).

12778801386000 is an abundant number, since it is smaller than the sum of its proper divisors (35219326537200).

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

12778801386000 is a wasteful number, since it uses less digits than its factorization.

12778801386000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1665 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 12778801386000 in words is "twelve trillion, seven hundred seventy-eight billion, eight hundred one million, three hundred eighty-six thousand".