12406240 has 192 divisors, whose sum is σ = 39191040. Its totient is φ = 3594240.

The previous prime is 12406217. The next prime is 12406253. The reversal of 12406240 is 4260421.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 31 ways as a sum of consecutive naturals, for example, 234054 + ... + 234106.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

Almost surely, 2^12406240 is an apocalyptic number.

12406240 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 12406240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

12406240 is an abundant number, since it is smaller than the sum of its proper divisors (26784800).

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

12406240 is a wasteful number, since it uses less digits than its factorization.

12406240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 12406240 is about 3522.2492813542. The cubic root of 12406240 is about 231.4977243066.

Adding to 12406240 its reverse (4260421), we get a palindrome (16666661).

The spelling of 12406240 in words is "twelve million, four hundred six thousand, two hundred forty".