12159187104 has 96 divisors (see below), whose sum is σ = 33627847680. Its totient is φ = 3836305152.

The previous prime is 12159187093. The next prime is 12159187109. The reversal of 12159187104 is 40178195121.

12159187104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×12159187104³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12159187109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2710047 + ... + 2714529.

It is an arithmetic number, because the mean of its divisors is an integer number (350290080).

Almost surely, 2^12159187104 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 12159187104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16813923840).

12159187104 is an abundant number, since it is smaller than the sum of its proper divisors (21468660576).

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

12159187104 is a wasteful number, since it uses less digits than its factorization.

12159187104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002 (or 5994 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 39.

The spelling of 12159187104 in words is "twelve billion, one hundred fifty-nine million, one hundred eighty-seven thousand, one hundred four".