12735960322720 has 48 divisors (see below), whose sum is σ = 30151522114560. Its totient is φ = 5083748641024.

The previous prime is 12735960322717. The next prime is 12735960322721. The reversal of 12735960322720 is 2722306953721.

It is not an unprimeable number, because it can be changed into a prime (12735960322721) 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 7 ways as a sum of consecutive naturals, for example, 83012872 + ... + 83166151.

It is an arithmetic number, because the mean of its divisors is an integer number (628156710720).

Almost surely, 2^{12735960322720} is an apocalyptic number.

12735960322720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12735960322720 is an abundant number, since it is smaller than the sum of its proper divisors (17415561791840).

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

12735960322720 is a wasteful number, since it uses less digits than its factorization.

12735960322720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166179517 (or 166179509 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 49.

The spelling of 12735960322720 in words is "twelve trillion, seven hundred thirty-five billion, nine hundred sixty million, three hundred twenty-two thousand, seven hundred twenty".