12322434400 has 72 divisors (see below), whose sum is σ = 30178865304. Its totient is φ = 4913126400.

The previous prime is 12322434367. The next prime is 12322434409. The reversal of 12322434400 is 443422321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12322434409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 225795 + ... + 275005.

It is an arithmetic number, because the mean of its divisors is an integer number (419150907).

Almost surely, 2^12322434400 is an apocalyptic number.

12322434400 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 12322434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15089432652).

12322434400 is an abundant number, since it is smaller than the sum of its proper divisors (17856430904).

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

12322434400 is a wasteful number, since it uses less digits than its factorization.

12322434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49544 (or 49531 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 12322434400 its reverse (443422321), we get a palindrome (12765856721).

The spelling of 12322434400 in words is "twelve billion, three hundred twenty-two million, four hundred thirty-four thousand, four hundred".