12000331200012 has 192 divisors, whose sum is σ = 30815859110400. Its totient is φ = 3620932761600.

The previous prime is 12000331200001. The next prime is 12000331200019. The reversal of 12000331200012 is 21000213300021.

12000331200012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12000331199964 and 12000331200000.

It is not an unprimeable number, because it can be changed into a prime (12000331200019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 504182512 + ... + 504206312.

It is an arithmetic number, because the mean of its divisors is an integer number (160499266200).

Almost surely, 2^{12000331200012} is an apocalyptic number.

12000331200012 is a gapful number since it is divisible by the number (12) 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 12000331200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15407929555200).

12000331200012 is an abundant number, since it is smaller than the sum of its proper divisors (18815527910388).

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

12000331200012 is a wasteful number, since it uses less digits than its factorization.

12000331200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24936 (or 24934 counting only the distinct ones).

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

Adding to 12000331200012 its reverse (21000213300021), we get a palindrome (33000544500033).

The spelling of 12000331200012 in words is "twelve trillion, three hundred thirty-one million, two hundred thousand, twelve".