12720746772 has 72 divisors (see below), whose sum is σ = 33924814560. Its totient is φ = 4007914560.

The previous prime is 12720746767. The next prime is 12720746777. The reversal of 12720746772 is 27764702721.

12720746772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12720746767) and next prime (12720746777).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12720746777) 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 23 ways as a sum of consecutive naturals, for example, 282022 + ... + 324002.

It is an arithmetic number, because the mean of its divisors is an integer number (471177980).

Almost surely, 2^12720746772 is an apocalyptic number.

12720746772 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 12720746772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16962407280).

12720746772 is an abundant number, since it is smaller than the sum of its proper divisors (21204067788).

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

12720746772 is a wasteful number, since it uses less digits than its factorization.

12720746772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42453 (or 42448 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 12720746772 in words is "twelve billion, seven hundred twenty million, seven hundred forty-six thousand, seven hundred seventy-two".