12114103234200 has 192 divisors, whose sum is σ = 41330243088000. Its totient is φ = 2910763161600.

The previous prime is 12114103234159. The next prime is 12114103234201. The reversal of 12114103234200 is 243230141121.

It is a super-3 number, since 3×12114103234200³ (a number of 40 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (12114103234201) 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, 7375750 + ... + 8867349.

It is an arithmetic number, because the mean of its divisors is an integer number (215261682750).

Almost surely, 2^{12114103234200} is an apocalyptic number.

12114103234200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114103234200 is an abundant number, since it is smaller than the sum of its proper divisors (29216139853800).

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

12114103234200 is a wasteful number, since it uses less digits than its factorization.

12114103234200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16243242 (or 16243233 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12114103234200 its reverse (243230141121), we get a palindrome (12357333375321).

The spelling of 12114103234200 in words is "twelve trillion, one hundred fourteen billion, one hundred three million, two hundred thirty-four thousand, two hundred".