12538512 has 90 divisors (see below), whose sum is σ = 40842438. Its totient is φ = 3580416.

The previous prime is 12538481. The next prime is 12538517. The reversal of 12538512 is 21583521.

It is a happy number.

12538512 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10732176 + 1806336 = 3276^2 + 1344^2 .

It is not an unprimeable number, because it can be changed into a prime (12538517) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6168 + ... + 7944.

Almost surely, 2^12538512 is an apocalyptic number.

12538512 is a gapful number since it is divisible by the number (12) 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 12538512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20421219).

12538512 is an abundant number, since it is smaller than the sum of its proper divisors (28303926).

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

12538512 is a wasteful number, since it uses less digits than its factorization.

12538512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1789 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 12538512 is about 3540.9761366041. The cubic root of 12538512 is about 232.3175398164.

The spelling of 12538512 in words is "twelve million, five hundred thirty-eight thousand, five hundred twelve".