3122213112320 has 80 divisors (see below), whose sum is σ = 7486581674088. Its totient is φ = 1248787169280.

The previous prime is 3122213112313. The next prime is 3122213112323. The reversal of 3122213112320 is 232113122213.

It can be written as a sum of positive squares in 4 ways, for example, as 2961097574656 + 161115537664 = 1720784^2 + 401392^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3122213112323) 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 7 ways as a sum of consecutive naturals, for example, 38669432 + ... + 38750088.

Almost surely, 2^{3122213112320} is an apocalyptic number.

It is an amenable number.

3122213112320 is an abundant number, since it is smaller than the sum of its proper divisors (4364368561768).

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

3122213112320 is an equidigital number, since it uses as much as digits as its factorization.

3122213112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95801 (or 95785 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 3122213112320 its reverse (232113122213), we get a palindrome (3354326234533).

The spelling of 3122213112320 in words is "three trillion, one hundred twenty-two billion, two hundred thirteen million, one hundred twelve thousand, three hundred twenty".