12165729907104 has 288 divisors, whose sum is σ = 36741742861824. Its totient is φ = 3957726769920.

The previous prime is 12165729907091. The next prime is 12165729907127. The reversal of 12165729907104 is 40170992756121.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×12165729907104³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431654997 + ... + 431683179.

It is an arithmetic number, because the mean of its divisors is an integer number (127575496048).

Almost surely, 2^{12165729907104} 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 12165729907104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18370871430912).

12165729907104 is an abundant number, since it is smaller than the sum of its proper divisors (24576012954720).

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

12165729907104 is a wasteful number, since it uses less digits than its factorization.

12165729907104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29542 (or 29522 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 12165729907104 in words is "twelve trillion, one hundred sixty-five billion, seven hundred twenty-nine million, nine hundred seven thousand, one hundred four".