12065138959104 has 972 divisors, whose sum is σ = 45211716994080. Its totient is φ = 3082215628800.

The previous prime is 12065138959091. The next prime is 12065138959129. The reversal of 12065138959104 is 40195983156021.

12065138959104 is a `hidden beast` number, since 1 + 20 + 6 + 513 + 8 + 95 + 9 + 10 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 833278137 + ... + 833292615.

Almost surely, 2^{12065138959104} is an apocalyptic number.

12065138959104 is a gapful number since it is divisible by the number (14) 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 12065138959104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22605858497040).

12065138959104 is an abundant number, since it is smaller than the sum of its proper divisors (33146578034976).

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

12065138959104 is a wasteful number, since it uses less digits than its factorization.

12065138959104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14598 (or 14563 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 12065138959104 in words is "twelve trillion, sixty-five billion, one hundred thirty-eight million, nine hundred fifty-nine thousand, one hundred four".