12001340142000 has 960 divisors, whose sum is σ = 46737580032000. Its totient is φ = 2845829376000.

The previous prime is 12001340141981. The next prime is 12001340142007. The reversal of 12001340142000 is 24104310021.

12001340142000 is a `hidden beast` number, since 1 + 200 + 1 + 3 + 40 + 1 + 420 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12001340142007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1704974481 + ... + 1704981519.

It is an arithmetic number, because the mean of its divisors is an integer number (48684979200).

Almost surely, 2^{12001340142000} is an apocalyptic number.

12001340142000 is a gapful number since it is divisible by the number (10) 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 12001340142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23368790016000).

12001340142000 is an abundant number, since it is smaller than the sum of its proper divisors (34736239890000).

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

12001340142000 is a wasteful number, since it uses less digits than its factorization.

12001340142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7267 (or 7248 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12001340142000 its reverse (24104310021), we get a palindrome (12025444452021).

The spelling of 12001340142000 in words is "twelve trillion, one billion, three hundred forty million, one hundred forty-two thousand".