12032339539968 has 576 divisors, whose sum is σ = 39369485151360. Its totient is φ = 3641108889600.

The previous prime is 12032339539963. The next prime is 12032339540017. The reversal of 12032339539968 is 86993593323021.

12032339539968 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 2 + 3 + 3 + 9 + 539 + 96 + 8 = 666.

12032339539968 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 (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032339539963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6410409046 + ... + 6410410922.

It is an arithmetic number, because the mean of its divisors is an integer number (68349800610).

Almost surely, 2^{12032339539968} is an apocalyptic number.

12032339539968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12032339539968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19684742575680).

12032339539968 is an abundant number, since it is smaller than the sum of its proper divisors (27337145611392).

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

12032339539968 is a wasteful number, since it uses less digits than its factorization.

12032339539968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 12032339539968 in words is "twelve trillion, thirty-two billion, three hundred thirty-nine million, five hundred thirty-nine thousand, nine hundred sixty-eight".