12781520430672 has 240 divisors, whose sum is σ = 38605934395392. Its totient is φ = 3633251086080.

The previous prime is 12781520430671. The next prime is 12781520430817. The reversal of 12781520430672 is 27603402518721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12781520430671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463370193 + ... + 463397775.

Almost surely, 2^{12781520430672} is an apocalyptic number.

12781520430672 is a gapful number since it is divisible by the number (12) 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 12781520430672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19302967197696).

12781520430672 is an abundant number, since it is smaller than the sum of its proper divisors (25824413964720).

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

12781520430672 is a wasteful number, since it uses less digits than its factorization.

12781520430672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28606 (or 28593 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 12781520430672 in words is "twelve trillion, seven hundred eighty-one billion, five hundred twenty million, four hundred thirty thousand, six hundred seventy-two".