12782734974000 has 480 divisors, whose sum is σ = 45178630668288. Its totient is φ = 3368289600000.

The previous prime is 12782734973999. The next prime is 12782734974001. The reversal of 12782734974000 is 47943728721.

12782734974000 is a `hidden beast` number, since 1 + 2 + 7 + 82 + 73 + 4 + 97 + 400 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12782734973999) and next prime (12782734974001).

It is not an unprimeable number, because it can be changed into a prime (12782734974001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 519125689 + ... + 519150311.

Almost surely, 2^{12782734974000} is an apocalyptic number.

12782734974000 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 12782734974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22589315334144).

12782734974000 is an abundant number, since it is smaller than the sum of its proper divisors (32395895694288).

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

12782734974000 is a wasteful number, since it uses less digits than its factorization.

12782734974000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24994 (or 24975 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 12782734974000 in words is "twelve trillion, seven hundred eighty-two billion, seven hundred thirty-four million, nine hundred seventy-four thousand".