12126880 has 24 divisors (see below), whose sum is σ = 28650132. Its totient is φ = 4850688.

The previous prime is 12126869. The next prime is 12126887. The reversal of 12126880 is 8862121.

It can be written as a sum of positive squares in 2 ways, for example, as 12027024 + 99856 = 3468^2 + 316^2 .

It is a super-2 number, since 2×12126880² = 294122437068800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12126887) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37737 + ... + 38056.

Almost surely, 2^12126880 is an apocalyptic number.

12126880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12126880 is an abundant number, since it is smaller than the sum of its proper divisors (16523252).

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

12126880 is an equidigital number, since it uses as much as digits as its factorization.

12126880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75808 (or 75800 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 12126880 is about 3482.3670111004. The cubic root of 12126880 is about 229.7469175880.

The spelling of 12126880 in words is "twelve million, one hundred twenty-six thousand, eight hundred eighty".