12024896 has 56 divisors (see below), whose sum is σ = 26136600. Its totient is φ = 5455872.

The previous prime is 12024893. The next prime is 12024913. The reversal of 12024896 is 69842021.

12024896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25600 + 11999296 = 160^2 + 3464^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (12024893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80630 + ... + 80778.

It is an arithmetic number, because the mean of its divisors is an integer number (466725).

Almost surely, 2^12024896 is an apocalyptic number.

12024896 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 12024896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13068300).

12024896 is an abundant number, since it is smaller than the sum of its proper divisors (14111704).

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

12024896 is a wasteful number, since it uses less digits than its factorization.

12024896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 12024896 is about 3467.6931813527. The cubic root of 12024896 is about 229.1010658438.

The spelling of 12024896 in words is "twelve million, twenty-four thousand, eight hundred ninety-six".