31224430413312 has 320 divisors, whose sum is σ = 86301922037760. Its totient is φ = 10021530009600.

The previous prime is 31224430413289. The next prime is 31224430413359. The reversal of 31224430413312 is 21331403442213.

It is a congruent number.

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, 9669998514 + ... + 9670001742.

It is an arithmetic number, because the mean of its divisors is an integer number (269693506368).

Almost surely, 2^{31224430413312} is an apocalyptic number.

31224430413312 is a gapful number since it is divisible by the number (32) 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 31224430413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43150961018880).

31224430413312 is an abundant number, since it is smaller than the sum of its proper divisors (55077491624448).

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

31224430413312 is a wasteful number, since it uses less digits than its factorization.

31224430413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245 (or 4229 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 31224430413312 its reverse (21331403442213), we get a palindrome (52555833855525).

The spelling of 31224430413312 in words is "thirty-one trillion, two hundred twenty-four billion, four hundred thirty million, four hundred thirteen thousand, three hundred twelve".