12225332430 has 192 divisors, whose sum is σ = 34059916800. Its totient is φ = 3152732544.

The previous prime is 12225332387. The next prime is 12225332461. The reversal of 12225332430 is 3423352221.

12225332430 is a `hidden beast` number, since 1 + 2 + 225 + 3 + 3 + 2 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12225332394 and 12225332403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20409271 + ... + 20409869.

It is an arithmetic number, because the mean of its divisors is an integer number (177395400).

Almost surely, 2^12225332430 is an apocalyptic number.

12225332430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12225332430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17029958400).

12225332430 is an abundant number, since it is smaller than the sum of its proper divisors (21834584370).

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

12225332430 is a wasteful number, since it uses less digits than its factorization.

12225332430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 12225332430 its reverse (3423352221), we get a palindrome (15648684651).

The spelling of 12225332430 in words is "twelve billion, two hundred twenty-five million, three hundred thirty-two thousand, four hundred thirty".