12288000000 has 266 divisors, whose sum is σ = 40959397588. Its totient is φ = 3276800000.

The previous prime is 12287999957. The next prime is 12288000077. The reversal of 12288000000 is 88221.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=1600.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2457599998 + ... + 2457600002.

Almost surely, 2^12288000000 is an apocalyptic number.

12288000000 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 12288000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20479698794).

12288000000 is an abundant number, since it is smaller than the sum of its proper divisors (28671397588).

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

12288000000 is an frugal number, since it uses more digits than its factorization.

12288000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 12288000000 its reverse (88221), we get a palindrome (12288088221).

The spelling of 12288000000 in words is "twelve billion, two hundred eighty-eight million", and thus it is an aban number.