312001342310420 has 192 divisors, whose sum is σ = 755384797440000. Its totient is φ = 106034105548800.

The previous prime is 312001342310327. The next prime is 312001342310423. The reversal of 312001342310420 is 24013243100213.

It is a self number, because there is not a number n which added to its sum of digits gives 312001342310420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312001342310423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44821335740 + ... + 44821342700.

It is an arithmetic number, because the mean of its divisors is an integer number (3934295820000).

Almost surely, 2^{312001342310420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312001342310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377692398720000).

312001342310420 is an abundant number, since it is smaller than the sum of its proper divisors (443383455129580).

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

312001342310420 is a wasteful number, since it uses less digits than its factorization.

312001342310420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10234 (or 10232 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 312001342310420 its reverse (24013243100213), we get a palindrome (336014585410633).

The spelling of 312001342310420 in words is "three hundred twelve trillion, one billion, three hundred forty-two million, three hundred ten thousand, four hundred twenty".