12000048000 has 384 divisors, whose sum is σ = 41000450400. Its totient is φ = 3104358400.

The previous prime is 12000047999. The next prime is 12000048007. The reversal of 12000048000 is 84000021.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000048007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134831956 + ... + 134832044.

Almost surely, 2^12000048000 is an apocalyptic number.

12000048000 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 12000048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20500225200).

12000048000 is an abundant number, since it is smaller than the sum of its proper divisors (29000402400).

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

12000048000 is an frugal number, since it uses more digits than its factorization.

12000048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12000048000 its reverse (84000021), we get a palindrome (12084048021).

The spelling of 12000048000 in words is "twelve billion, forty-eight thousand".