12333312400 has 30 divisors (see below), whose sum is σ = 29630784002. Its totient is φ = 4933324800.

The previous prime is 12333312323. The next prime is 12333312403. The reversal of 12333312400 is 421333321.

It can be written as a sum of positive squares in 3 ways, for example, as 50466816 + 12282845584 = 7104^2 + 110828^2 .

It is a super-2 number, since 2×12333312400² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12333312403) 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 5 ways as a sum of consecutive naturals, for example, 15416241 + ... + 15417040.

Almost surely, 2^12333312400 is an apocalyptic number.

12333312400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12333312400 is an abundant number, since it is smaller than the sum of its proper divisors (17297471602).

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

12333312400 is a wasteful number, since it uses less digits than its factorization.

12333312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30833299 (or 30833288 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 12333312400 its reverse (421333321), we get a palindrome (12754645721).

The spelling of 12333312400 in words is "twelve billion, three hundred thirty-three million, three hundred twelve thousand, four hundred".