12265665360 has 160 divisors (see below), whose sum is σ = 41325271680. Its totient is φ = 2991458304.

The previous prime is 12265665301. The next prime is 12265665371. The reversal of 12265665360 is 6356656221.

12265665360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322047 + ... + 358113.

It is an arithmetic number, because the mean of its divisors is an integer number (258282948).

Almost surely, 2^12265665360 is an apocalyptic number.

12265665360 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 12265665360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20662635840).

12265665360 is an abundant number, since it is smaller than the sum of its proper divisors (29059606320).

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

12265665360 is a wasteful number, since it uses less digits than its factorization.

12265665360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36205 (or 36199 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 12265665360 in words is "twelve billion, two hundred sixty-five million, six hundred sixty-five thousand, three hundred sixty".