12119395081728 has 640 divisors, whose sum is σ = 37315237386240. Its totient is φ = 3460825088000.

The previous prime is 12119395081721. The next prime is 12119395081769. The reversal of 12119395081728 is 82718059391121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12119395081721) 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 63 ways as a sum of consecutive naturals, for example, 14761747558 + ... + 14761748378.

It is an arithmetic number, because the mean of its divisors is an integer number (58305058416).

Almost surely, 2^{12119395081728} 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 12119395081728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18657618693120).

12119395081728 is an abundant number, since it is smaller than the sum of its proper divisors (25195842304512).

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

12119395081728 is a wasteful number, since it uses less digits than its factorization.

12119395081728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 57.

The spelling of 12119395081728 in words is "twelve trillion, one hundred nineteen billion, three hundred ninety-five million, eighty-one thousand, seven hundred twenty-eight".