12334202400 has 288 divisors, whose sum is σ = 44057805120. Its totient is φ = 2978426880.

The previous prime is 12334202371. The next prime is 12334202401. The reversal of 12334202400 is 420243321.

It is not an unprimeable number, because it can be changed into a prime (12334202401) 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 47 ways as a sum of consecutive naturals, for example, 1649871 + ... + 1657329.

It is an arithmetic number, because the mean of its divisors is an integer number (152978490).

Almost surely, 2^12334202400 is an apocalyptic number.

12334202400 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 12334202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22028902560).

12334202400 is an abundant number, since it is smaller than the sum of its proper divisors (31723602720).

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

12334202400 is a wasteful number, since it uses less digits than its factorization.

12334202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7548 (or 7535 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 12334202400 its reverse (420243321), we get a palindrome (12754445721).

The spelling of 12334202400 in words is "twelve billion, three hundred thirty-four million, two hundred two thousand, four hundred".