12265560 has 128 divisors (see below), whose sum is σ = 42033600. Its totient is φ = 3179520.

The previous prime is 12265523. The next prime is 12265573. The reversal of 12265560 is 6556221.

12265560 is a `hidden beast` number, since 1 + 2 + 2 + 655 + 6 + 0 = 666.

It is a super-2 number, since 2×12265560² = 300887924227200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44142 + ... + 44418.

Almost surely, 2^12265560 is an apocalyptic number.

12265560 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 12265560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21016800).

12265560 is an abundant number, since it is smaller than the sum of its proper divisors (29768040).

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

12265560 is a wasteful number, since it uses less digits than its factorization.

12265560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 12265560 is about 3502.2221517202. Note that the first 3 decimals coincide. The cubic root of 12265560 is about 230.6193765566.

It can be divided in two parts, 1226 and 5560, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 12265560 in words is "twelve million, two hundred sixty-five thousand, five hundred sixty".