12988008 has 144 divisors (see below), whose sum is σ = 41408640. Its totient is φ = 3643200.

The previous prime is 12988007. The next prime is 12988033. The reversal of 12988008 is 80088921.

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

It is not an unprimeable number, because it can be changed into a prime (12988007) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 418953 + ... + 418983.

It is an arithmetic number, because the mean of its divisors is an integer number (287560).

Almost surely, 2^12988008 is an apocalyptic number.

12988008 is a gapful number since it is divisible by the number (18) 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 12988008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20704320).

12988008 is an abundant number, since it is smaller than the sum of its proper divisors (28420632).

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

12988008 is a wasteful number, since it uses less digits than its factorization.

12988008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 12988008 is about 3603.8879005874. The cubic root of 12988008 is about 235.0611460021.

The spelling of 12988008 in words is "twelve million, nine hundred eighty-eight thousand, eight".