12704111140721 has 256 divisors, whose sum is σ = 18562811904000. Its totient is φ = 8370086400000.

The previous prime is 12704111140703. The next prime is 12704111140757.

12704111140721 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12704111140721 - 2⁶ = 12704111140657 is a prime.

It is a super-2 number, since 2×12704111140721² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12704111140781) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21208866380 + ... + 21208866978.

It is an arithmetic number, because the mean of its divisors is an integer number (72510984000).

Almost surely, 2^{12704111140721} is an apocalyptic number.

12704111140721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12704111140721 is a deficient number, since it is larger than the sum of its proper divisors (5858700763279).

12704111140721 is a wasteful number, since it uses less digits than its factorization.

12704111140721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992.

The product of its (nonzero) digits is 3136, while the sum is 32.

The spelling of 12704111140721 in words is "twelve trillion, seven hundred four billion, one hundred eleven million, one hundred forty thousand, seven hundred twenty-one".