12823104 has 168 divisors, whose sum is σ = 41696640. Its totient is φ = 3462144.

The previous prime is 12823099. The next prime is 12823123. The reversal of 12823104 is 40132821.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272809 + ... + 272855.

Almost surely, 2^12823104 is an apocalyptic number.

12823104 is a gapful number since it is divisible by the number (14) 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 12823104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20848320).

12823104 is an abundant number, since it is smaller than the sum of its proper divisors (28873536).

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

12823104 is a wasteful number, since it uses less digits than its factorization.

12823104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12823104 is about 3580.9361904396. The cubic root of 12823104 is about 234.0620771821.

Adding to 12823104 its reverse (40132821), we get a palindrome (52955925).

It can be divided in two parts, 128 and 23104, that added together give a palindrome (23232).

The spelling of 12823104 in words is "twelve million, eight hundred twenty-three thousand, one hundred four".