12063744000 has 1344 divisors, whose sum is σ = 57412323072. Its totient is φ = 2359296000.

The previous prime is 12063743953. The next prime is 12063744029. The reversal of 12063744000 is 44736021.

12063744000 is a `hidden beast` number, since 1 + 20 + 637 + 4 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 709631992 + ... + 709632008.

Almost surely, 2^12063744000 is an apocalyptic number.

12063744000 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 12063744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28706161536).

12063744000 is an abundant number, since it is smaller than the sum of its proper divisors (45348579072).

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

12063744000 is a wasteful number, since it uses less digits than its factorization.

12063744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 12063744000 in words is "twelve billion, sixty-three million, seven hundred forty-four thousand".