12414960 has 120 divisors (see below), whose sum is σ = 42769584. Its totient is φ = 3225600.

The previous prime is 12414959. The next prime is 12414967. The reversal of 12414960 is 6941421.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12414967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30760 + ... + 31160.

Almost surely, 2^12414960 is an apocalyptic number.

12414960 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 12414960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21384792).

12414960 is an abundant number, since it is smaller than the sum of its proper divisors (30354624).

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

12414960 is a wasteful number, since it uses less digits than its factorization.

12414960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12414960 is about 3523.4869092988. The cubic root of 12414960 is about 231.5519493682.

The spelling of 12414960 in words is "twelve million, four hundred fourteen thousand, nine hundred sixty".