12671023104 has 432 divisors, whose sum is σ = 40621286160. Its totient is φ = 3941498880.

The previous prime is 12671023093. The next prime is 12671023133. The reversal of 12671023104 is 40132017621.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 309049324 + ... + 309049364.

It is an arithmetic number, because the mean of its divisors is an integer number (94030755).

Almost surely, 2^12671023104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12671023104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20310643080).

12671023104 is an abundant number, since it is smaller than the sum of its proper divisors (27950263056).

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

12671023104 is an frugal number, since it uses more digits than its factorization.

12671023104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 12671023104 in words is "twelve billion, six hundred seventy-one million, twenty-three thousand, one hundred four".