12167983604735 has 96 divisors (see below), whose sum is σ = 18029401251840. Its totient is φ = 7833442219008.

The previous prime is 12167983604719. The next prime is 12167983604783. The reversal of 12167983604735 is 53740638976121.

It is not a de Polignac number, because 12167983604735 - 2⁴ = 12167983604719 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3842115122 + ... + 3842118288.

It is an arithmetic number, because the mean of its divisors is an integer number (187806263040).

It is a 1-persistent number, because it is pandigital, but 2⋅12167983604735 = 24335967209470 is not.

Almost surely, 2^{12167983604735} is an apocalyptic number.

12167983604735 is a deficient number, since it is larger than the sum of its proper divisors (5861417647105).

12167983604735 is a wasteful number, since it uses less digits than its factorization.

12167983604735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205 (or 5198 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 62.

The spelling of 12167983604735 in words is "twelve trillion, one hundred sixty-seven billion, nine hundred eighty-three million, six hundred four thousand, seven hundred thirty-five".