12334232400 has 240 divisors, whose sum is σ = 45580368384. Its totient is φ = 2792701440.

The previous prime is 12334232381. The next prime is 12334232401. The reversal of 12334232400 is 423243321.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12334232401) 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 47 ways as a sum of consecutive naturals, for example, 891939 + ... + 905661.

Almost surely, 2^12334232400 is an apocalyptic number.

12334232400 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 12334232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22790184192).

12334232400 is an abundant number, since it is smaller than the sum of its proper divisors (33246135984).

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

12334232400 is a wasteful number, since it uses less digits than its factorization.

12334232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13858 (or 13847 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12334232400 its reverse (423243321), we get a palindrome (12757475721).

The spelling of 12334232400 in words is "twelve billion, three hundred thirty-four million, two hundred thirty-two thousand, four hundred".