12988512 has 60 divisors (see below), whose sum is σ = 38206476. Its totient is φ = 4328640.

The previous prime is 12988511. The next prime is 12988529. The reversal of 12988512 is 21588921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12988511) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 87 + ... + 5097.

Almost surely, 2^12988512 is an apocalyptic number.

12988512 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 12988512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19103238).

12988512 is an abundant number, since it is smaller than the sum of its proper divisors (25217964).

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

12988512 is an equidigital number, since it uses as much as digits as its factorization.

12988512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033 (or 5016 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 12988512 is about 3603.9578243925. The cubic root of 12988512 is about 235.0641864808.

The spelling of 12988512 in words is "twelve million, nine hundred eighty-eight thousand, five hundred twelve".