12333314400 has 144 divisors (see below), whose sum is σ = 43794571968. Its totient is φ = 2989888000.

The previous prime is 12333314353. The next prime is 12333314417. The reversal of 12333314400 is 441333321.

It is a super-2 number, since 2×12333314400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 207186 + ... + 259985.

It is an arithmetic number, because the mean of its divisors is an integer number (304128972).

Almost surely, 2^12333314400 is an apocalyptic number.

12333314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12333314400 is an abundant number, since it is smaller than the sum of its proper divisors (31461257568).

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

12333314400 is a wasteful number, since it uses less digits than its factorization.

12333314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467205 (or 467192 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12333314400 its reverse (441333321), we get a palindrome (12774647721).

The spelling of 12333314400 in words is "twelve billion, three hundred thirty-three million, three hundred fourteen thousand, four hundred".