12255120 has 60 divisors (see below), whose sum is σ = 41159196. Its totient is φ = 3267840.

The previous prime is 12255071. The next prime is 12255121. The reversal of 12255120 is 2155221.

It can be written as a sum of positive squares in 2 ways, for example, as 8928144 + 3326976 = 2988^2 + 1824^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12255093 and 12255102.

It is not an unprimeable number, because it can be changed into a prime (12255121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7791 + ... + 9230.

Almost surely, 2^12255120 is an apocalyptic number.

12255120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12255120 is an abundant number, since it is smaller than the sum of its proper divisors (28904076).

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

12255120 is a wasteful number, since it uses less digits than its factorization.

12255120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17040 (or 17031 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 12255120 is about 3500.7313521606. The cubic root of 12255120 is about 230.5539263660.

The spelling of 12255120 in words is "twelve million, two hundred fifty-five thousand, one hundred twenty".