12127683145344 has 256 divisors, whose sum is σ = 35291427494400. Its totient is φ = 3667177451520.

The previous prime is 12127683145343. The next prime is 12127683145363. The reversal of 12127683145344 is 44354138672121.

12127683145344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12127683145343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1523000307 + ... + 1523008269.

It is an arithmetic number, because the mean of its divisors is an integer number (137857138650).

Almost surely, 2^{12127683145344} 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 12127683145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17645713747200).

12127683145344 is an abundant number, since it is smaller than the sum of its proper divisors (23163744349056).

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

12127683145344 is a wasteful number, since it uses less digits than its factorization.

12127683145344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13223 (or 13211 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The spelling of 12127683145344 in words is "twelve trillion, one hundred twenty-seven billion, six hundred eighty-three million, one hundred forty-five thousand, three hundred forty-four".