12461120 has 56 divisors (see below), whose sum is σ = 33918144. Its totient is φ = 4271616.

The previous prime is 12461107. The next prime is 12461123. The reversal of 12461120 is 2116421.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (12461123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 542 + ... + 5021.

Almost surely, 2^12461120 is an apocalyptic number.

12461120 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 12461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16959072).

12461120 is an abundant number, since it is smaller than the sum of its proper divisors (21457024).

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

12461120 is an equidigital number, since it uses as much as digits as its factorization.

12461120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5587 (or 5577 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 12461120 is about 3530.0311613355. The cubic root of 12461120 is about 231.8385718087.

Adding to 12461120 its reverse (2116421), we get a palindrome (14577541).

The spelling of 12461120 in words is "twelve million, four hundred sixty-one thousand, one hundred twenty".