12630960000000 has 1056 divisors, whose sum is σ = 46589920573248. Its totient is φ = 3294720000000.

The previous prime is 12630959999951. The next prime is 12630960000017. The reversal of 12630960000000 is 6903621.

It is a happy number.

12630960000000 is a `hidden beast` number, since 1 + 26 + 30 + 9 + 600 + 0 + 0 + 0 + 0 + 0 = 666.

12630960000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38159999835 + ... + 38160000165.

Almost surely, 2^{12630960000000} is an apocalyptic number.

12630960000000 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 12630960000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23294960286624).

12630960000000 is an abundant number, since it is smaller than the sum of its proper divisors (33958960573248).

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

12630960000000 is an frugal number, since it uses more digits than its factorization.

12630960000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 12630960000000 its reverse (6903621), we get a palindrome (12630966903621).

The spelling of 12630960000000 in words is "twelve trillion, six hundred thirty billion, nine hundred sixty million", and thus it is an aban number.