312322120310312 has 128 divisors (see below), whose sum is σ = 681480121271040. Its totient is φ = 131421871595520.

The previous prime is 312322120310311. The next prime is 312322120310339. The reversal of 312322120310312 is 213013021223213.

It is not an unprimeable number, because it can be changed into a prime (312322120310311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15034992758 + ... + 15035013530.

It is an arithmetic number, because the mean of its divisors is an integer number (5324063447430).

Almost surely, 2^{312322120310312} 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 312322120310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340740060635520).

312322120310312 is an abundant number, since it is smaller than the sum of its proper divisors (369158000960728).

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

312322120310312 is a wasteful number, since it uses less digits than its factorization.

312322120310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33811 (or 33807 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 312322120310312 its reverse (213013021223213), we get a palindrome (525335141533525).

The spelling of 312322120310312 in words is "three hundred twelve trillion, three hundred twenty-two billion, one hundred twenty million, three hundred ten thousand, three hundred twelve".