431221013124 has 96 divisors (see below), whose sum is σ = 1160902095360. Its totient is φ = 123208646400.

The previous prime is 431221013087. The next prime is 431221013173. The reversal of 431221013124 is 421310122134.

It is a junction number, because it is equal to n+sod(n) for n = 431221013094 and 431221013103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121752 + ... + 936624.

It is an arithmetic number, because the mean of its divisors is an integer number (12092730160).

Almost surely, 2^431221013124 is an apocalyptic number.

431221013124 is a gapful number since it is divisible by the number (44) 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 431221013124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580451047680).

431221013124 is an abundant number, since it is smaller than the sum of its proper divisors (729681082236).

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

431221013124 is a wasteful number, since it uses less digits than its factorization.

431221013124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815121 (or 815119 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 431221013124 its reverse (421310122134), we get a palindrome (852531135258).

The spelling of 431221013124 in words is "four hundred thirty-one billion, two hundred twenty-one million, thirteen thousand, one hundred twenty-four".