12039936480 has 576 divisors, whose sum is σ = 49136855040. Its totient is φ = 2645913600.

The previous prime is 12039936479. The next prime is 12039936509. The reversal of 12039936480 is 8463993021.

It is a happy number.

12039936480 is a `hidden beast` number, since 1 + 203 + 9 + 9 + 364 + 80 = 666.

12039936480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 12148785 + ... + 12149775.

It is an arithmetic number, because the mean of its divisors is an integer number (85307040).

Almost surely, 2^12039936480 is an apocalyptic number.

12039936480 is a gapful number since it is divisible by the number (10) 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 12039936480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24568427520).

12039936480 is an abundant number, since it is smaller than the sum of its proper divisors (37096918560).

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

12039936480 is a wasteful number, since it uses less digits than its factorization.

12039936480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 12039936480 in words is "twelve billion, thirty-nine million, nine hundred thirty-six thousand, four hundred eighty".