12320414400 has 336 divisors, whose sum is σ = 46837827584. Its totient is φ = 2776965120.

The previous prime is 12320414387. The next prime is 12320414417. The reversal of 12320414400 is 441402321.

12320414400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×12320414400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 2450289 + ... + 2455311.

Almost surely, 2^12320414400 is an apocalyptic number.

12320414400 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 12320414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23418913792).

12320414400 is an abundant number, since it is smaller than the sum of its proper divisors (34517413184).

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

12320414400 is a wasteful number, since it uses less digits than its factorization.

12320414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 5113 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12320414400 its reverse (441402321), we get a palindrome (12761816721).

The spelling of 12320414400 in words is "twelve billion, three hundred twenty million, four hundred fourteen thousand, four hundred".