12384624000 has 1024 divisors, whose sum is σ = 51325747200. Its totient is φ = 2580480000.

The previous prime is 12384623983. The next prime is 12384624001. The reversal of 12384624000 is 42648321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12384624001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 302063980 + ... + 302064020.

It is an arithmetic number, because the mean of its divisors is an integer number (50122800).

Almost surely, 2^12384624000 is an apocalyptic number.

12384624000 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 12384624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25662873600).

12384624000 is an abundant number, since it is smaller than the sum of its proper divisors (38941123200).

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

12384624000 is a wasteful number, since it uses less digits than its factorization.

12384624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 12384624000 in words is "twelve billion, three hundred eighty-four million, six hundred twenty-four thousand".