12265830 has 80 divisors (see below), whose sum is σ = 34760880. Its totient is φ = 3094848.

The previous prime is 12265817. The next prime is 12265853. The reversal of 12265830 is 3856221.

12265830 is a `hidden beast` number, since 1 + 2 + 2 + 658 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12265794 and 12265803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14992 + ... + 15788.

It is an arithmetic number, because the mean of its divisors is an integer number (434511).

Almost surely, 2^12265830 is an apocalyptic number.

12265830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12265830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17380440).

12265830 is an abundant number, since it is smaller than the sum of its proper divisors (22495050).

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

12265830 is a wasteful number, since it uses less digits than its factorization.

12265830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12265830 is about 3502.2606984632. The cubic root of 12265830 is about 230.6210687412.

It can be divided in two parts, 1226 and 5830, that added together give a square (7056 = 84²).

The spelling of 12265830 in words is "twelve million, two hundred sixty-five thousand, eight hundred thirty".