12000032001312 has 48 divisors (see below), whose sum is σ = 33157983166560. Its totient is φ = 3789483789312.

The previous prime is 12000032001311. The next prime is 12000032001361. The reversal of 12000032001312 is 21310023000021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 12000032001291 and 12000032001300.

It is not an unprimeable number, because it can be changed into a prime (12000032001311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3289480633 + ... + 3289484280.

It is an arithmetic number, because the mean of its divisors is an integer number (690791315970).

Almost surely, 2^{12000032001312} is an apocalyptic number.

12000032001312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12000032001312 is an abundant number, since it is smaller than the sum of its proper divisors (21157951165248).

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

12000032001312 is a wasteful number, since it uses less digits than its factorization.

12000032001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6578964945 (or 6578964937 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12000032001312 its reverse (21310023000021), we get a palindrome (33310055001333).

The spelling of 12000032001312 in words is "twelve trillion, thirty-two million, one thousand, three hundred twelve".