12456240 has 160 divisors (see below), whose sum is σ = 42425856. Its totient is φ = 3010560.

The previous prime is 12456221. The next prime is 12456253. The reversal of 12456240 is 4265421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12456240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175405 + ... + 175475.

Almost surely, 2^12456240 is an apocalyptic number.

12456240 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 12456240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212928).

12456240 is an abundant number, since it is smaller than the sum of its proper divisors (29969616).

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

12456240 is a wasteful number, since it uses less digits than its factorization.

12456240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 12456240 is about 3529.3398816209. The cubic root of 12456240 is about 231.8083037978.

The spelling of 12456240 in words is "twelve million, four hundred fifty-six thousand, two hundred forty".