12252960 has 144 divisors (see below), whose sum is σ = 42771456. Its totient is φ = 3193344.

The previous prime is 12252953. The next prime is 12253013. The reversal of 12252960 is 6925221.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96417 + ... + 96543.

It is an arithmetic number, because the mean of its divisors is an integer number (297024).

Almost surely, 2^12252960 is an apocalyptic number.

12252960 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 12252960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21385728).

12252960 is an abundant number, since it is smaller than the sum of its proper divisors (30518496).

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

12252960 is a wasteful number, since it uses less digits than its factorization.

12252960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12252960 is about 3500.4228316019. The cubic root of 12252960 is about 230.5403803069.

The spelling of 12252960 in words is "twelve million, two hundred fifty-two thousand, nine hundred sixty".