12538128 has 80 divisors (see below), whose sum is σ = 34747776. Its totient is φ = 3886080.

The previous prime is 12538117. The next prime is 12538133. The reversal of 12538128 is 82183521.

It is a junction number, because it is equal to n+sod(n) for n = 12538095 and 12538104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45126 + ... + 45402.

Almost surely, 2^12538128 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 12538128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17373888).

12538128 is an abundant number, since it is smaller than the sum of its proper divisors (22209648).

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

12538128 is a wasteful number, since it uses less digits than its factorization.

12538128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 12538128 is about 3540.9219138524. The cubic root of 12538128 is about 232.3151681675.

The spelling of 12538128 in words is "twelve million, five hundred thirty-eight thousand, one hundred twenty-eight".