12321420302400 has 672 divisors, whose sum is σ = 45747551969280. Its totient is φ = 2877229056000.

The previous prime is 12321420302381. The next prime is 12321420302413. The reversal of 12321420302400 is 420302412321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 170983177 + ... + 171055223.

It is an arithmetic number, because the mean of its divisors is an integer number (68076714240).

Almost surely, 2^{12321420302400} is an apocalyptic number.

12321420302400 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 12321420302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22873775984640).

12321420302400 is an abundant number, since it is smaller than the sum of its proper divisors (33426131666880).

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

12321420302400 is a wasteful number, since it uses less digits than its factorization.

12321420302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72203 (or 72188 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12321420302400 its reverse (420302412321), we get a palindrome (12741722714721).

The spelling of 12321420302400 in words is "twelve trillion, three hundred twenty-one billion, four hundred twenty million, three hundred two thousand, four hundred".