12321400400 has 60 divisors (see below), whose sum is σ = 29707781244. Its totient is φ = 4910976000.

The previous prime is 12321400361. The next prime is 12321400423. The reversal of 12321400400 is 400412321.

12321400400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3952144 + 12317448256 = 1988^2 + 110984^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57590 + ... + 167210.

Almost surely, 2^12321400400 is an apocalyptic number.

12321400400 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 12321400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14853890622).

12321400400 is an abundant number, since it is smaller than the sum of its proper divisors (17386380844).

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

12321400400 is a wasteful number, since it uses less digits than its factorization.

12321400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109920 (or 109909 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12321400400 its reverse (400412321), we get a palindrome (12721812721).

The spelling of 12321400400 in words is "twelve billion, three hundred twenty-one million, four hundred thousand, four hundred".