12819888 has 60 divisors (see below), whose sum is σ = 36211968. Its totient is φ = 4233600.

The previous prime is 12819881. The next prime is 12819899. The reversal of 12819888 is 88891821.

12819888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12819881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17938 + ... + 18638.

Almost surely, 2^12819888 is an apocalyptic number.

12819888 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 12819888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105984).

12819888 is an abundant number, since it is smaller than the sum of its proper divisors (23392080).

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

12819888 is a wasteful number, since it uses less digits than its factorization.

12819888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 833 counting only the distinct ones).

The product of its digits is 73728, while the sum is 45.

The square root of 12819888 is about 3580.4871176978. The cubic root of 12819888 is about 234.0425081662.

The spelling of 12819888 in words is "twelve million, eight hundred nineteen thousand, eight hundred eighty-eight".