12127295376 has 675 divisors, whose sum is σ = 45047638251. Its totient is φ = 3139855488.

The previous prime is 12127295359. The next prime is 12127295377. The reversal of 12127295376 is 67359272121.

It is a happy number.

The square root of 12127295376 is 110124.

It is a perfect power (a square), and thus also a powerful number.

12127295376 is a `hidden beast` number, since 1 + 2 + 1 + 272 + 9 + 5 + 376 = 666.

Its product of digits (317520) is a multiple of the sum of its prime divisors (54).

It is not an unprimeable number, because it can be changed into a prime (12127295377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 527273701 + ... + 527273723.

Almost surely, 2^12127295376 is an apocalyptic number.

12127295376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12127295376 is the 110124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12127295376

12127295376 is an abundant number, since it is smaller than the sum of its proper divisors (32920342875).

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

12127295376 is a wasteful number, since it uses less digits than its factorization.

12127295376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 54 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The spelling of 12127295376 in words is "twelve billion, one hundred twenty-seven million, two hundred ninety-five thousand, three hundred seventy-six".