431123112 has 192 divisors, whose sum is σ = 1396636800. Its totient is φ = 117573120.

The previous prime is 431123087. The next prime is 431123113. The reversal of 431123112 is 211321134.

431123112 is a `hidden beast` number, since 431 + 1 + 231 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (431123113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1137339 + ... + 1137717.

It is an arithmetic number, because the mean of its divisors is an integer number (7274150).

Almost surely, 2^431123112 is an apocalyptic number.

431123112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431123112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698318400).

431123112 is an abundant number, since it is smaller than the sum of its proper divisors (965513688).

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

431123112 is a wasteful number, since it uses less digits than its factorization.

431123112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 489 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 431123112 is about 20763.5043285087. The cubic root of 431123112 is about 755.4407975202.

Adding to 431123112 its reverse (211321134), we get a palindrome (642444246).

The spelling of 431123112 in words is "four hundred thirty-one million, one hundred twenty-three thousand, one hundred twelve".