12258880 has 56 divisors (see below), whose sum is σ = 30220920. Its totient is φ = 4730880.

The previous prime is 12258871. The next prime is 12258881. The reversal of 12258880 is 8885221.

12258880 = T₂₈₅ + T₂₈₆ + ... + T₄₅₈.

It is a happy number.

12258880 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 4 ways, for example, as 3779136 + 8479744 = 1944^2 + 2912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12258881) 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, 8620 + ... + 9940.

Almost surely, 2^12258880 is an apocalyptic number.

12258880 is a gapful number since it is divisible by the number (10) 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 12258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15110460).

12258880 is an abundant number, since it is smaller than the sum of its proper divisors (17962040).

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

12258880 is a wasteful number, since it uses less digits than its factorization.

12258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 12258880 is about 3501.2683416156. The cubic root of 12258880 is about 230.5775027467.

The spelling of 12258880 in words is "twelve million, two hundred fifty-eight thousand, eight hundred eighty".