12634653120 has 112 divisors (see below), whose sum is σ = 40664770080. Its totient is φ = 3323068416.

The previous prime is 12634653077. The next prime is 12634653133. The reversal of 12634653120 is 2135643621.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 20065 + ... + 160224.

Almost surely, 2^12634653120 is an apocalyptic number.

12634653120 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 12634653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20332385040).

12634653120 is an abundant number, since it is smaller than the sum of its proper divisors (28030116960).

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

12634653120 is a wasteful number, since it uses less digits than its factorization.

12634653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180382 (or 180372 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 12634653120 in words is "twelve billion, six hundred thirty-four million, six hundred fifty-three thousand, one hundred twenty".