12006917604 has 288 divisors, whose sum is σ = 35457246720. Its totient is φ = 3509130240.

The previous prime is 12006917603. The next prime is 12006917623. The reversal of 12006917604 is 40671960021.

12006917604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12006917603) 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 95 ways as a sum of consecutive naturals, for example, 69404062 + ... + 69404234.

It is an arithmetic number, because the mean of its divisors is an integer number (123115440).

Almost surely, 2^12006917604 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 12006917604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17728623360).

12006917604 is an abundant number, since it is smaller than the sum of its proper divisors (23450329116).

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

12006917604 is a wasteful number, since it uses less digits than its factorization.

12006917604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 12006917604 in words is "twelve billion, six million, nine hundred seventeen thousand, six hundred four".