312221330300000 has 576 divisors, whose sum is σ = 850896941985216. Its totient is φ = 111820800000000.

The previous prime is 312221330299993. The next prime is 312221330300027. The reversal of 312221330300000 is 3033122213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21442292720 + ... + 21442307280.

It is an arithmetic number, because the mean of its divisors is an integer number (1477251635391).

Almost surely, 2^{312221330300000} 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 312221330300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425448470992608).

312221330300000 is an abundant number, since it is smaller than the sum of its proper divisors (538675611685216).

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

312221330300000 is a wasteful number, since it uses less digits than its factorization.

312221330300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14901 (or 14873 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 312221330300000 its reverse (3033122213), we get a palindrome (312224363422213).

The spelling of 312221330300000 in words is "three hundred twelve trillion, two hundred twenty-one billion, three hundred thirty million, three hundred thousand".