12407120 has 80 divisors (see below), whose sum is σ = 32890752. Its totient is φ = 4308480.

The previous prime is 12407119. The next prime is 12407147. The reversal of 12407120 is 2170421.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19934 + ... + 20546.

Almost surely, 2^12407120 is an apocalyptic number.

12407120 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 12407120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16445376).

12407120 is an abundant number, since it is smaller than the sum of its proper divisors (20483632).

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

12407120 is a wasteful number, since it uses less digits than its factorization.

12407120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 12407120 is about 3522.3741993150. The cubic root of 12407120 is about 231.5031977130.

Adding to 12407120 its reverse (2170421), we get a palindrome (14577541).

The spelling of 12407120 in words is "twelve million, four hundred seven thousand, one hundred twenty".