12768233124320 has 144 divisors (see below), whose sum is σ = 31325719275648. Its totient is φ = 4916674421760.

The previous prime is 12768233124307. The next prime is 12768233124341. The reversal of 12768233124320 is 2342133286721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21263729 + ... + 21855951.

It is an arithmetic number, because the mean of its divisors is an integer number (217539717192).

Almost surely, 2^{12768233124320} is an apocalyptic number.

12768233124320 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 12768233124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15662859637824).

12768233124320 is an abundant number, since it is smaller than the sum of its proper divisors (18557486151328).

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

12768233124320 is an equidigital number, since it uses as much as digits as its factorization.

12768233124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592393 (or 592338 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 12768233124320 in words is "twelve trillion, seven hundred sixty-eight billion, two hundred thirty-three million, one hundred twenty-four thousand, three hundred twenty".