12420412224 has 224 divisors, whose sum is σ = 36510650880. Its totient is φ = 3695155200.

The previous prime is 12420412219. The next prime is 12420412261. The reversal of 12420412224 is 42221402421.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 12420412194 and 12420412203.

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, 37523739 + ... + 37524069.

Almost surely, 2^12420412224 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 12420412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18255325440).

12420412224 is an abundant number, since it is smaller than the sum of its proper divisors (24090238656).

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

12420412224 is a wasteful number, since it uses less digits than its factorization.

12420412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12420412224 its reverse (42221402421), we get a palindrome (54641814645).

The spelling of 12420412224 in words is "twelve billion, four hundred twenty million, four hundred twelve thousand, two hundred twenty-four".