12645120 has 144 divisors (see below), whose sum is σ = 41942880. Its totient is φ = 3244032.

The previous prime is 12645107. The next prime is 12645163. The reversal of 12645120 is 2154621.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142036 + ... + 142124.

It is an arithmetic number, because the mean of its divisors is an integer number (291270).

Almost surely, 2^12645120 is an apocalyptic number.

12645120 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 12645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20971440).

12645120 is an abundant number, since it is smaller than the sum of its proper divisors (29297760).

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

12645120 is an equidigital number, since it uses as much as digits as its factorization.

12645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 12645120 is about 3555.9977502805. The cubic root of 12645120 is about 232.9741048297.

Adding to 12645120 its reverse (2154621), we get a palindrome (14799741).

The spelling of 12645120 in words is "twelve million, six hundred forty-five thousand, one hundred twenty".