12255880 has 144 divisors (see below), whose sum is σ = 35674020. Its totient is φ = 3773952.

The previous prime is 12255877. The next prime is 12255889. The reversal of 12255880 is 8855221.

12255880 = T₂₉ + T₃₀ + ... + T₄₁₈.

It can be written as a sum of positive squares in 6 ways, for example, as 3363556 + 8892324 = 1834^2 + 2982^2 .

It is not an unprimeable number, because it can be changed into a prime (12255889) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331222 + ... + 331258.

Almost surely, 2^12255880 is an apocalyptic number.

12255880 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 12255880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17837010).

12255880 is an abundant number, since it is smaller than the sum of its proper divisors (23418140).

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

12255880 is a wasteful number, since it uses less digits than its factorization.

12255880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 31.

The square root of 12255880 is about 3500.8398992242. The cubic root of 12255880 is about 230.5586921935.

The spelling of 12255880 in words is "twelve million, two hundred fifty-five thousand, eight hundred eighty".