12412340224 has 48 divisors (see below), whose sum is σ = 24839238060. Its totient is φ = 6201016320.

The previous prime is 12412340221. The next prime is 12412340243. The reversal of 12412340224 is 42204321421.

It can be written as a sum of positive squares in 2 ways, for example, as 10154189824 + 2258150400 = 100768^2 + 47520^2 .

It is not an unprimeable number, because it can be changed into a prime (12412340221) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4080144 + ... + 4083184.

Almost surely, 2^12412340224 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 12412340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12419619030).

12412340224 is an abundant number, since it is smaller than the sum of its proper divisors (12426897836).

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

12412340224 is an equidigital number, since it uses as much as digits as its factorization.

12412340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 12412340224 its reverse (42204321421), we get a palindrome (54616661645).

The spelling of 12412340224 in words is "twelve billion, four hundred twelve million, three hundred forty thousand, two hundred twenty-four".