431313214121200 has 60 divisors (see below), whose sum is σ = 1039970899709320. Its totient is φ = 171902450638080.

The previous prime is 431313214121191. The next prime is 431313214121213. The reversal of 431313214121200 is 2121412313134.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1946248470 + ... + 1946470069.

Almost surely, 2^{431313214121200} is an apocalyptic number.

431313214121200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431313214121200 is an abundant number, since it is smaller than the sum of its proper divisors (608657685588120).

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

431313214121200 is a wasteful number, since it uses less digits than its factorization.

431313214121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892718834 (or 3892718823 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 431313214121200 its reverse (2121412313134), we get a palindrome (433434626434334).

The spelling of 431313214121200 in words is "four hundred thirty-one trillion, three hundred thirteen billion, two hundred fourteen million, one hundred twenty-one thousand, two hundred".