12303414400 has 96 divisors (see below), whose sum is σ = 30508398900. Its totient is φ = 4902727680.

The previous prime is 12303414353. The next prime is 12303414407. The reversal of 12303414400 is 441430321.

It can be written as a sum of positive squares in 6 ways, for example, as 3717184 + 12299697216 = 1928^2 + 110904^2 .

It is not an unprimeable number, because it can be changed into a prime (12303414407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 853654 + ... + 867946.

Almost surely, 2^12303414400 is an apocalyptic number.

12303414400 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 12303414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15254199450).

12303414400 is an abundant number, since it is smaller than the sum of its proper divisors (18204984500).

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

12303414400 is a wasteful number, since it uses less digits than its factorization.

12303414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14586 (or 14569 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12303414400 its reverse (441430321), we get a palindrome (12744844721).

The spelling of 12303414400 in words is "twelve billion, three hundred three million, four hundred fourteen thousand, four hundred".