12024839473920 has 720 divisors, whose sum is σ = 52956441088320. Its totient is φ = 2537106997248.

The previous prime is 12024839473883. The next prime is 12024839473921. The reversal of 12024839473920 is 2937493842021.

It is a happy number.

12024839473920 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 4 + 83 + 9 + 473 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12024839473921) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 8797626 + ... + 10072134.

Almost surely, 2^{12024839473920} is an apocalyptic number.

12024839473920 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 12024839473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26478220544160).

12024839473920 is an abundant number, since it is smaller than the sum of its proper divisors (40931601614400).

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

12024839473920 is a wasteful number, since it uses less digits than its factorization.

12024839473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274562 (or 1274539 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 12024839473920 in words is "twelve trillion, twenty-four billion, eight hundred thirty-nine million, four hundred seventy-three thousand, nine hundred twenty".