12888821 has 16 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 10951920.

The previous prime is 12888803. The next prime is 12888851.

12888821 = 409² + 410² + ... + 474².

12888821 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12888821 is a prime.

It is a super-3 number, since 3×12888821³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12888851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16976 + ... + 17718.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^12888821 is an apocalyptic number.

12888821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12888821 is a deficient number, since it is larger than the sum of its proper divisors (2110219).

12888821 is a wasteful number, since it uses less digits than its factorization.

12888821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856.

The product of its digits is 16384, while the sum is 38.

The square root of 12888821 is about 3590.1004164229. The cubic root of 12888821 is about 234.4612435438.

The spelling of 12888821 in words is "twelve million, eight hundred eighty-eight thousand, eight hundred twenty-one".