12675128832 has 280 divisors, whose sum is σ = 39313767240. Its totient is φ = 4075868160.

The previous prime is 12675128827. The next prime is 12675128833. The reversal of 12675128832 is 23882157621.

12675128832 is a `hidden beast` number, since 1 + 26 + 7 + 512 + 88 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12675128833) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10823607 + ... + 10824777.

Almost surely, 2^12675128832 is an apocalyptic number.

12675128832 is a gapful number since it is divisible by the number (12) 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 12675128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656883620).

12675128832 is an abundant number, since it is smaller than the sum of its proper divisors (26638638408).

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

12675128832 is an frugal number, since it uses more digits than its factorization.

12675128832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1205 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 12675128832 in words is "twelve billion, six hundred seventy-five million, one hundred twenty-eight thousand, eight hundred thirty-two".