12430420114200 has 192 divisors, whose sum is σ = 42430296251520. Its totient is φ = 2985272064000.

The previous prime is 12430420114183. The next prime is 12430420114201. The reversal of 12430420114200 is 241102403421.

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 (12430420114201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8094721 + ... + 9507120.

It is an arithmetic number, because the mean of its divisors is an integer number (220991126310).

Almost surely, 2^{12430420114200} is an apocalyptic number.

12430420114200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12430420114200 is an abundant number, since it is smaller than the sum of its proper divisors (29999876137320).

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

12430420114200 is a wasteful number, since it uses less digits than its factorization.

12430420114200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17601978 (or 17601969 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12430420114200 its reverse (241102403421), we get a palindrome (12671522517621).

The spelling of 12430420114200 in words is "twelve trillion, four hundred thirty billion, four hundred twenty million, one hundred fourteen thousand, two hundred".