12007832813824 has 27 divisors (see below), whose sum is σ = 23968870702077. Its totient is φ = 6003888685056.

The previous prime is 12007832813791. The next prime is 12007832813839. The reversal of 12007832813824 is 42831823870021.

The square root of 12007832813824 is 3465232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3089438982400 + 8918393831424 = 1757680^2 + 2986368^2 .

It is a Duffinian number.

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 2 ways as a sum of consecutive naturals, for example, 55335424 + ... + 55552000.

Almost surely, 2^{12007832813824} is an apocalyptic number.

12007832813824 is the 3465232-nd square number.

It is an amenable number.

12007832813824 is a deficient number, since it is larger than the sum of its proper divisors (11961037888253).

12007832813824 is an frugal number, since it uses more digits than its factorization.

12007832813824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433170 (or 216579 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 49.

Multiplying 12007832813824 by its sum of digits (49), we get a square (588383807877376 = 24256624²).

The spelling of 12007832813824 in words is "twelve trillion, seven billion, eight hundred thirty-two million, eight hundred thirteen thousand, eight hundred twenty-four".