12334102400 has 192 divisors, whose sum is σ = 31229809200. Its totient is φ = 4811980800.

The previous prime is 12334102393. The next prime is 12334102409. The reversal of 12334102400 is 420143321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12334102409) 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 23 ways as a sum of consecutive naturals, for example, 34940624 + ... + 34940976.

Almost surely, 2^12334102400 is an apocalyptic number.

12334102400 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 12334102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15614904600).

12334102400 is an abundant number, since it is smaller than the sum of its proper divisors (18895706800).

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

12334102400 is a wasteful number, since it uses less digits than its factorization.

12334102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 12334102400 its reverse (420143321), we get a palindrome (12754245721).

The spelling of 12334102400 in words is "twelve billion, three hundred thirty-four million, one hundred two thousand, four hundred".