12000413141442 has 96 divisors (see below), whose sum is σ = 28693885409280. Its totient is φ = 3594517745760.

The previous prime is 12000413141429. The next prime is 12000413141449. The reversal of 12000413141442 is 24414131400021.

12000413141442 is a `hidden beast` number, since 1 + 200 + 0 + 4 + 1 + 3 + 1 + 414 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (12000413141449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4905063 + ... + 6932565.

It is an arithmetic number, because the mean of its divisors is an integer number (298894639680).

Almost surely, 2^{12000413141442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000413141442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14346942704640).

12000413141442 is an abundant number, since it is smaller than the sum of its proper divisors (16693472267838).

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

12000413141442 is a wasteful number, since it uses less digits than its factorization.

12000413141442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027868 (or 2027865 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 12000413141442 its reverse (24414131400021), we get a palindrome (36414544541463).

The spelling of 12000413141442 in words is "twelve trillion, four hundred thirteen million, one hundred forty-one thousand, four hundred forty-two".