12048146512128 has 432 divisors, whose sum is σ = 36280794880512. Its totient is φ = 3840860160000.

The previous prime is 12048146512109. The next prime is 12048146512217. The reversal of 12048146512128 is 82121564184021.

12048146512128 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 8 + 1 + 4 + 6 + 512 + 128 = 666.

12048146512128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4984751176 + ... + 4984753592.

Almost surely, 2^{12048146512128} is an apocalyptic number.

12048146512128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12048146512128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18140397440256).

12048146512128 is an abundant number, since it is smaller than the sum of its proper divisors (24232648368384).

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

12048146512128 is a wasteful number, since it uses less digits than its factorization.

12048146512128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 12048146512128 in words is "twelve trillion, forty-eight billion, one hundred forty-six million, five hundred twelve thousand, one hundred twenty-eight".