12405120 has 256 divisors, whose sum is σ = 49351680. Its totient is φ = 2580480.

The previous prime is 12405091. The next prime is 12405137. The reversal of 12405120 is 2150421.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12405120.

It is a congruent number.

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, 174685 + ... + 174755.

It is an arithmetic number, because the mean of its divisors is an integer number (192780).

Almost surely, 2^12405120 is an apocalyptic number.

12405120 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 12405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675840).

12405120 is an abundant number, since it is smaller than the sum of its proper divisors (36946560).

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

12405120 is a wasteful number, since it uses less digits than its factorization.

12405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 12405120 is about 3522.0902884509. The cubic root of 12405120 is about 231.4907577786.

Adding to 12405120 its reverse (2150421), we get a palindrome (14555541).

The spelling of 12405120 in words is "twelve million, four hundred five thousand, one hundred twenty".