12324200224 has 96 divisors (see below), whose sum is σ = 28042350336. Its totient is φ = 5222568960.

The previous prime is 12324200183. The next prime is 12324200227. The reversal of 12324200224 is 42200242321.

12324200224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12324200224² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12324200195 and 12324200204.

It is not an unprimeable number, because it can be changed into a prime (12324200227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7986397 + ... + 7987939.

It is an arithmetic number, because the mean of its divisors is an integer number (292107816).

Almost surely, 2^12324200224 is an apocalyptic number.

12324200224 is a gapful number since it is divisible by the number (14) 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 12324200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14021175168).

12324200224 is an abundant number, since it is smaller than the sum of its proper divisors (15718150112).

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

12324200224 is a wasteful number, since it uses less digits than its factorization.

12324200224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 12324200224 its reverse (42200242321), we get a palindrome (54524442545).

The spelling of 12324200224 in words is "twelve billion, three hundred twenty-four million, two hundred thousand, two hundred twenty-four".