12065442048 has 288 divisors, whose sum is σ = 40186675200. Its totient is φ = 3537561600.

The previous prime is 12065442047. The next prime is 12065442091. The reversal of 12065442048 is 84024456021.

12065442048 is a `hidden beast` number, since 1 + 206 + 5 + 442 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (12065442047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2354433 + ... + 2359551.

Almost surely, 2^12065442048 is an apocalyptic number.

12065442048 is a gapful number since it is divisible by the number (18) 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 12065442048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20093337600).

12065442048 is an abundant number, since it is smaller than the sum of its proper divisors (28121233152).

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

12065442048 is a wasteful number, since it uses less digits than its factorization.

12065442048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186 (or 5166 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 12065442048 its reverse (84024456021), we get a palindrome (96089898069).

The spelling of 12065442048 in words is "twelve billion, sixty-five million, four hundred forty-two thousand, forty-eight".