12327428480128 has 64 divisors (see below), whose sum is σ = 24804351499320. Its totient is φ = 6102035660800.

The previous prime is 12327428480119. The next prime is 12327428480179. The reversal of 12327428480128 is 82108482472321.

It can be written as a sum of positive squares in 4 ways, for example, as 12223078807104 + 104349673024 = 3496152^2 + 323032^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134832126 + ... + 134923522.

Almost surely, 2^{12327428480128} 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 12327428480128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12402175749660).

12327428480128 is an abundant number, since it is smaller than the sum of its proper divisors (12476923019192).

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

12327428480128 is a wasteful number, since it uses less digits than its factorization.

12327428480128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101945 (or 101933 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 52.

The spelling of 12327428480128 in words is "twelve trillion, three hundred twenty-seven billion, four hundred twenty-eight million, four hundred eighty thousand, one hundred twenty-eight".