12971263246096 has 45 divisors (see below), whose sum is σ = 26524727001621. Its totient is φ = 6144152933952.

The previous prime is 12971263246069. The next prime is 12971263246121. The reversal of 12971263246096 is 69064236217921.

The square root of 12971263246096 is 3601564.

It is a perfect power (a square), and thus also a powerful number.

12971263246096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 287978196496 + 12683285049600 = 536636^2 + 3561360^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12971263246096.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 273695170 + ... + 273742558.

Almost surely, 2^{12971263246096} is an apocalyptic number.

12971263246096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12971263246096 is the 3601564-th square number.

It is an amenable number.

12971263246096 is an abundant number, since it is smaller than the sum of its proper divisors (13553463755525).

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

12971263246096 is an frugal number, since it uses more digits than its factorization.

12971263246096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94824 (or 47410 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 58.

The spelling of 12971263246096 in words is "twelve trillion, nine hundred seventy-one billion, two hundred sixty-three million, two hundred forty-six thousand, ninety-six".