12461424 has 40 divisors (see below), whose sum is σ = 32564880. Its totient is φ = 4105728.

The previous prime is 12461419. The next prime is 12461429. The reversal of 12461424 is 42416421.

It is a happy number.

12461424 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 is an interprime number because it is at equal distance from previous prime (12461419) and next prime (12461429).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12461394 and 12461403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12461429) 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, 2814 + ... + 5730.

It is an arithmetic number, because the mean of its divisors is an integer number (814122).

Almost surely, 2^12461424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12461424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16282440).

12461424 is an abundant number, since it is smaller than the sum of its proper divisors (20103456).

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

12461424 is a wasteful number, since it uses less digits than its factorization.

12461424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 3011 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 12461424 is about 3530.0742201829. The cubic root of 12461424 is about 231.8404570955.

Adding to 12461424 its reverse (42416421), we get a palindrome (54877845).

The spelling of 12461424 in words is "twelve million, four hundred sixty-one thousand, four hundred twenty-four".