12146830096128 has 288 divisors, whose sum is σ = 40382531083776. Its totient is φ = 3155744047104.

The previous prime is 12146830096103. The next prime is 12146830096129. The reversal of 12146830096128 is 82169003864121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12146830096129) 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, 3385450 + ... + 5979542.

Almost surely, 2^{12146830096128} 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 12146830096128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20191265541888).

12146830096128 is an abundant number, since it is smaller than the sum of its proper divisors (28235700987648).

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

12146830096128 is a wasteful number, since it uses less digits than its factorization.

12146830096128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594199 (or 2594185 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 12146830096128 in words is "twelve trillion, one hundred forty-six billion, eight hundred thirty million, ninety-six thousand, one hundred twenty-eight".