12224241432 has 192 divisors, whose sum is σ = 37669632000. Its totient is φ = 3550148352.

The previous prime is 12224241409. The next prime is 12224241473. The reversal of 12224241432 is 23414242221.

It is a happy number.

12224241432 is a `hidden beast` number, since 1 + 2 + 2 + 242 + 414 + 3 + 2 = 666.

It is a super-4 number, since 4×12224241432⁴ (a number of 41 digits) contains 4444 as substring.

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 = 12224241396 and 12224241405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5458569 + ... + 5460807.

It is an arithmetic number, because the mean of its divisors is an integer number (196196000).

Almost surely, 2^12224241432 is an apocalyptic number.

12224241432 is a gapful number since it is divisible by the number (12) 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 12224241432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18834816000).

12224241432 is an abundant number, since it is smaller than the sum of its proper divisors (25445390568).

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

12224241432 is a wasteful number, since it uses less digits than its factorization.

12224241432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 2583 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 12224241432 its reverse (23414242221), we get a palindrome (35638483653).

The spelling of 12224241432 in words is "twelve billion, two hundred twenty-four million, two hundred forty-one thousand, four hundred thirty-two".