12134624128 has 128 divisors (see below), whose sum is σ = 27397232640. Its totient is φ = 5303654400.

The previous prime is 12134624101. The next prime is 12134624147. The reversal of 12134624128 is 82142643121.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 12134624093 and 12134624102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7550301 + ... + 7551907.

It is an arithmetic number, because the mean of its divisors is an integer number (214040880).

Almost surely, 2^12134624128 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 12134624128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698616320).

12134624128 is an abundant number, since it is smaller than the sum of its proper divisors (15262608512).

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

12134624128 is a wasteful number, since it uses less digits than its factorization.

12134624128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836 (or 1824 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The spelling of 12134624128 in words is "twelve billion, one hundred thirty-four million, six hundred twenty-four thousand, one hundred twenty-eight".