12414240 has 144 divisors (see below), whose sum is σ = 43695288. Its totient is φ = 3207168.

The previous prime is 12414211. The next prime is 12414263. The reversal of 12414240 is 4241421.

12414240 = T₅₁ + T₅₂ + ... + T₄₂₀.

12414240 is a `hidden beast` number, since 1 + 241 + 424 + 0 = 666.

12414240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10575504 + 1838736 = 3252^2 + 1356^2 .

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

It is a super-2 number, since 2×12414240² = 308226709555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53164 + ... + 53396.

Almost surely, 2^12414240 is an apocalyptic number.

12414240 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 12414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21847644).

12414240 is an abundant number, since it is smaller than the sum of its proper divisors (31281048).

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

12414240 is a wasteful number, since it uses less digits than its factorization.

12414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 12414240 is about 3523.3847363012. The cubic root of 12414240 is about 231.5474730314.

Adding to 12414240 its reverse (4241421), we get a palindrome (16655661).

The spelling of 12414240 in words is "twelve million, four hundred fourteen thousand, two hundred forty".