12721422410784 has 480 divisors, whose sum is σ = 42420509429760. Its totient is φ = 3718660492800.

The previous prime is 12721422410783. The next prime is 12721422410833. The reversal of 12721422410784 is 48701422412721.

12721422410784 is a `hidden beast` number, since 1 + 27 + 2 + 142 + 2 + 410 + 78 + 4 = 666.

12721422410784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12721422410783) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34932679 + ... + 35294969.

It is an arithmetic number, because the mean of its divisors is an integer number (88376061312).

Almost surely, 2^{12721422410784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12721422410784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21210254714880).

12721422410784 is an abundant number, since it is smaller than the sum of its proper divisors (29699087018976).

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

12721422410784 is a wasteful number, since it uses less digits than its factorization.

12721422410784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362386 (or 362369 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 12721422410784 in words is "twelve trillion, seven hundred twenty-one billion, four hundred twenty-two million, four hundred ten thousand, seven hundred eighty-four".