12127134768 has 160 divisors (see below), whose sum is σ = 37168097280. Its totient is φ = 3335316480.

The previous prime is 12127134757. The next prime is 12127134779. The reversal of 12127134768 is 86743172121.

It is an interprime number because it is at equal distance from previous prime (12127134757) and next prime (12127134779).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 957018 + ... + 969606.

It is an arithmetic number, because the mean of its divisors is an integer number (232300608).

Almost surely, 2^12127134768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12127134768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18584048640).

12127134768 is an abundant number, since it is smaller than the sum of its proper divisors (25040962512).

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

12127134768 is a wasteful number, since it uses less digits than its factorization.

12127134768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12715 (or 12709 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The spelling of 12127134768 in words is "twelve billion, one hundred twenty-seven million, one hundred thirty-four thousand, seven hundred sixty-eight".