12456160 has 48 divisors (see below), whose sum is σ = 29707776. Its totient is φ = 4935168.

The previous prime is 12456151. The next prime is 12456163. The reversal of 12456160 is 6165421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12456163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20014 + ... + 20626.

It is an arithmetic number, because the mean of its divisors is an integer number (618912).

Almost surely, 2^12456160 is an apocalyptic number.

12456160 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 12456160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14853888).

12456160 is an abundant number, since it is smaller than the sum of its proper divisors (17251616).

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

12456160 is a wasteful number, since it uses less digits than its factorization.

12456160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 12456160 is about 3529.3285480386. The cubic root of 12456160 is about 231.8078075350.

The spelling of 12456160 in words is "twelve million, four hundred fifty-six thousand, one hundred sixty".