431133120120 has 64 divisors (see below), whose sum is σ = 1303272685440. Its totient is φ = 114091203200.

The previous prime is 431133120113. The next prime is 431133120127. The reversal of 431133120120 is 21021331134.

It is an interprime number because it is at equal distance from previous prime (431133120113) and next prime (431133120127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431133120127) 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 15 ways as a sum of consecutive naturals, for example, 13697166 + ... + 13728605.

It is an arithmetic number, because the mean of its divisors is an integer number (20363635710).

Almost surely, 2^431133120120 is an apocalyptic number.

431133120120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431133120120 is an abundant number, since it is smaller than the sum of its proper divisors (872139565320).

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

431133120120 is a wasteful number, since it uses less digits than its factorization.

431133120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27425916 (or 27425912 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 431133120120 its reverse (21021331134), we get a palindrome (452154451254).

The spelling of 431133120120 in words is "four hundred thirty-one billion, one hundred thirty-three million, one hundred twenty thousand, one hundred twenty".