12961732097280 has 144 divisors (see below), whose sum is σ = 41492141208000. Its totient is φ = 3448478859264.

The previous prime is 12961732097269. The next prime is 12961732097299. The reversal of 12961732097280 is 8279023716921.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12961732097280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2235030 + ... + 5560469.

It is an arithmetic number, because the mean of its divisors is an integer number (288139869500).

Almost surely, 2^{12961732097280} is an apocalyptic number.

12961732097280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12961732097280 is an abundant number, since it is smaller than the sum of its proper divisors (28530409110720).

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

12961732097280 is an equidigital number, since it uses as much as digits as its factorization.

12961732097280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7795956 (or 7795942 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 12961732097280 in words is "twelve trillion, nine hundred sixty-one billion, seven hundred thirty-two million, ninety-seven thousand, two hundred eighty".