12000421430400 has 192 divisors, whose sum is σ = 42566879920320. Its totient is φ = 2953949859840.

The previous prime is 12000421430369. The next prime is 12000421430401. The reversal of 12000421430400 is 403412400021.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×12000421430400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12000421430401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47953812 + ... + 48203411.

It is an arithmetic number, because the mean of its divisors is an integer number (221702499585).

Almost surely, 2^{12000421430400} is an apocalyptic number.

12000421430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000421430400 is an abundant number, since it is smaller than the sum of its proper divisors (30566458489920).

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

12000421430400 is a wasteful number, since it uses less digits than its factorization.

12000421430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96157263 (or 96157246 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12000421430400 its reverse (403412400021), we get a palindrome (12403833830421).

The spelling of 12000421430400 in words is "twelve trillion, four hundred twenty-one million, four hundred thirty thousand, four hundred".