2128042000512 has 96 divisors (see below), whose sum is σ = 6126268419180. Its totient is φ = 709045475328.

The previous prime is 2128042000481. The next prime is 2128042000549. The reversal of 2128042000512 is 2150002408212.

2128042000512 is a `hidden beast` number, since 2 + 128 + 0 + 4 + 20 + 0 + 0 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2125694016576 + 2347983936 = 1457976^2 + 48456^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2323398 + ... + 3107130.

Almost surely, 2^{2128042000512} 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 2128042000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063134209590).

2128042000512 is an abundant number, since it is smaller than the sum of its proper divisors (3998226418668).

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

2128042000512 is a wasteful number, since it uses less digits than its factorization.

2128042000512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786110 (or 786095 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 2128042000512 its reverse (2150002408212), we get a palindrome (4278044408724).

The spelling of 2128042000512 in words is "two trillion, one hundred twenty-eight billion, forty-two million, five hundred twelve", and thus it is an aban number.