12781203984288 has 768 divisors, whose sum is σ = 41385738240000. Its totient is φ = 3823874740224.

The previous prime is 12781203984271. The next prime is 12781203984343. The reversal of 12781203984288 is 88248930218721.

12781203984288 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 120 + 398 + 42 + 88 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4035743281 + ... + 4035746447.

It is an arithmetic number, because the mean of its divisors is an integer number (53887680000).

Almost surely, 2^{12781203984288} is an apocalyptic number.

12781203984288 is a gapful number since it is divisible by the number (18) 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 12781203984288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20692869120000).

12781203984288 is an abundant number, since it is smaller than the sum of its proper divisors (28604534255712).

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

12781203984288 is a wasteful number, since it uses less digits than its factorization.

12781203984288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 12781203984288 in words is "twelve trillion, seven hundred eighty-one billion, two hundred three million, nine hundred eighty-four thousand, two hundred eighty-eight".