12042442504332 has 216 divisors, whose sum is σ = 31648687565040. Its totient is φ = 3857979974400.

The previous prime is 12042442504327. The next prime is 12042442504403. The reversal of 12042442504332 is 23340524424021.

12042442504332 is a `hidden beast` number, since 1 + 204 + 2 + 442 + 5 + 0 + 4 + 3 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 6334792582 + ... + 6334794482.

It is an arithmetic number, because the mean of its divisors is an integer number (146521701690).

Almost surely, 2^{12042442504332} is an apocalyptic number.

12042442504332 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 12042442504332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15824343782520).

12042442504332 is an abundant number, since it is smaller than the sum of its proper divisors (19606245060708).

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

12042442504332 is a wasteful number, since it uses less digits than its factorization.

12042442504332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 12042442504332 its reverse (23340524424021), we get a palindrome (35382966928353).

The spelling of 12042442504332 in words is "twelve trillion, forty-two billion, four hundred forty-two million, five hundred four thousand, three hundred thirty-two".