12971488417921 has 32 divisors (see below), whose sum is σ = 14676934745088. Its totient is φ = 11361642210240.

The previous prime is 12971488417879. The next prime is 12971488417999.

12971488417921 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12971488417921 - 2¹³ = 12971488409729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12971488412921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25145235 + ... + 25655911.

It is an arithmetic number, because the mean of its divisors is an integer number (458654210784).

Almost surely, 2^{12971488417921} is an apocalyptic number.

12971488417921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12971488417921 is a deficient number, since it is larger than the sum of its proper divisors (1705446327167).

12971488417921 is a wasteful number, since it uses less digits than its factorization.

12971488417921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511461.

The product of its digits is 16257024, while the sum is 64.

The spelling of 12971488417921 in words is "twelve trillion, nine hundred seventy-one billion, four hundred eighty-eight million, four hundred seventeen thousand, nine hundred twenty-one".