12232504322400 has 288 divisors, whose sum is σ = 40114972977408. Its totient is φ = 3237610752000.

The previous prime is 12232504322359. The next prime is 12232504322509. The reversal of 12232504322400 is 422340523221.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 439577287 + ... + 439605113.

It is an arithmetic number, because the mean of its divisors is an integer number (139288100616).

Almost surely, 2^{12232504322400} is an apocalyptic number.

12232504322400 is a gapful number since it is divisible by the number (10) 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 12232504322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20057486488704).

12232504322400 is an abundant number, since it is smaller than the sum of its proper divisors (27882468655008).

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

12232504322400 is a wasteful number, since it uses less digits than its factorization.

12232504322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29214 (or 29201 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 12232504322400 its reverse (422340523221), we get a palindrome (12654844845621).

The spelling of 12232504322400 in words is "twelve trillion, two hundred thirty-two billion, five hundred four million, three hundred twenty-two thousand, four hundred".