12888096 has 96 divisors (see below), whose sum is σ = 38102400. Its totient is φ = 3784704.

The previous prime is 12888079. The next prime is 12888121. The reversal of 12888096 is 69088821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12888096² = 332206037010432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28480 + ... + 28928.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 2^12888096 is an apocalyptic number.

12888096 is a gapful number since it is divisible by the number (16) 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 12888096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051200).

12888096 is an abundant number, since it is smaller than the sum of its proper divisors (25214304).

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

12888096 is a wasteful number, since it uses less digits than its factorization.

12888096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 12888096 is about 3589.9994428969. Note that the first 3 decimals coincide. The cubic root of 12888096 is about 234.4568472899.

It can be divided in two parts, 1288809 and 6, that added together give a triangular number (1288815 = T₁₆₀₅).

The spelling of 12888096 in words is "twelve million, eight hundred eighty-eight thousand, ninety-six".