12344354202400 has 144 divisors (see below), whose sum is σ = 33115228302240. Its totient is φ = 4456090265600.

The previous prime is 12344354202377. The next prime is 12344354202409. The reversal of 12344354202400 is 420245344321.

It is not an unprimeable number, because it can be changed into a prime (12344354202409) 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 23 ways as a sum of consecutive naturals, for example, 3913990 + ... + 6325189.

It is an arithmetic number, because the mean of its divisors is an integer number (229966863210).

Almost surely, 2^{12344354202400} is an apocalyptic number.

12344354202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12344354202400 is an abundant number, since it is smaller than the sum of its proper divisors (20770874099840).

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

12344354202400 is a wasteful number, since it uses less digits than its factorization.

12344354202400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10239347 (or 10239334 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 12344354202400 its reverse (420245344321), we get a palindrome (12764599546721).

The spelling of 12344354202400 in words is "twelve trillion, three hundred forty-four billion, three hundred fifty-four million, two hundred two thousand, four hundred".