12129380419728 has 640 divisors, whose sum is σ = 38961026334720. Its totient is φ = 3200445480960.

The previous prime is 12129380419727. The next prime is 12129380419729. The reversal of 12129380419728 is 82791408392121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12129380419727) and next prime (12129380419729).

It is not an unprimeable number, because it can be changed into a prime (12129380419727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9140451801 + ... + 9140453127.

It is an arithmetic number, because the mean of its divisors is an integer number (60876603648).

Almost surely, 2^{12129380419728} 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 12129380419728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19480513167360).

12129380419728 is an abundant number, since it is smaller than the sum of its proper divisors (26831645914992).

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

12129380419728 is a wasteful number, since it uses less digits than its factorization.

12129380419728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 12129380419728 in words is "twelve trillion, one hundred twenty-nine billion, three hundred eighty million, four hundred nineteen thousand, seven hundred twenty-eight".