12127295232 has 432 divisors, whose sum is σ = 40034012928. Its totient is φ = 3503554560.

The previous prime is 12127295231. The next prime is 12127295317. The reversal of 12127295232 is 23259272121.

12127295232 is a `hidden beast` number, since 1 + 2 + 127 + 2 + 9 + 523 + 2 = 666.

12127295232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12127295231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34354768 + ... + 34355120.

Almost surely, 2^12127295232 is an apocalyptic number.

12127295232 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 12127295232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20017006464).

12127295232 is an abundant number, since it is smaller than the sum of its proper divisors (27906717696).

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

12127295232 is a wasteful number, since it uses less digits than its factorization.

12127295232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 439 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The spelling of 12127295232 in words is "twelve billion, one hundred twenty-seven million, two hundred ninety-five thousand, two hundred thirty-two".