12781314000 has 1440 divisors, whose sum is σ = 60526292736. Its totient is φ = 2538086400.

The previous prime is 12781313977. The next prime is 12781314011. The reversal of 12781314000 is 41318721.

12781314000 is a `hidden beast` number, since 127 + 8 + 131 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 751841992 + ... + 751842008.

Almost surely, 2^12781314000 is an apocalyptic number.

12781314000 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 12781314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30263146368).

12781314000 is an abundant number, since it is smaller than the sum of its proper divisors (47744978736).

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

12781314000 is a wasteful number, since it uses less digits than its factorization.

12781314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 12781314000 in words is "twelve billion, seven hundred eighty-one million, three hundred fourteen thousand".