12265680 has 160 divisors (see below), whose sum is σ = 44640000. Its totient is φ = 2784768.

The previous prime is 12265667. The next prime is 12265709. The reversal of 12265680 is 8656221.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 82246 + ... + 82394.

It is an arithmetic number, because the mean of its divisors is an integer number (279000).

Almost surely, 2^12265680 is an apocalyptic number.

12265680 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 12265680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320000).

12265680 is an abundant number, since it is smaller than the sum of its proper divisors (32374320).

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

12265680 is a wasteful number, since it uses less digits than its factorization.

12265680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 12265680 is about 3502.2392836584. The cubic root of 12265680 is about 230.6201286418.

The spelling of 12265680 in words is "twelve million, two hundred sixty-five thousand, six hundred eighty".