12480240 has 80 divisors (see below), whose sum is σ = 39060000. Its totient is φ = 3296256.

The previous prime is 12480229. The next prime is 12480253. The reversal of 12480240 is 4208421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×12480240³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

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, 35586 + ... + 35934.

It is an arithmetic number, because the mean of its divisors is an integer number (488250).

Almost surely, 2^12480240 is an apocalyptic number.

12480240 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 12480240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19530000).

12480240 is an abundant number, since it is smaller than the sum of its proper divisors (26579760).

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

12480240 is a wasteful number, since it uses less digits than its factorization.

12480240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 12480240 is about 3532.7383146789. The cubic root of 12480240 is about 231.9570867913.

Adding to 12480240 its reverse (4208421), we get a palindrome (16688661).

It can be divided in two parts, 12480 and 240, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 12480240 in words is "twelve million, four hundred eighty thousand, two hundred forty".