312211322000 has 80 divisors (see below), whose sum is σ = 759994326000. Its totient is φ = 124046259200.

The previous prime is 312211321963. The next prime is 312211322009. The reversal of 312211322000 is 223112213.

It can be written as a sum of positive squares in 8 ways, for example, as 234267616144 + 77943705856 = 484012^2 + 279184^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 312211322000.

It is not an unprimeable number, because it can be changed into a prime (312211322009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225845 + ... + 821844.

It is an arithmetic number, because the mean of its divisors is an integer number (9499929075).

Almost surely, 2^312211322000 is an apocalyptic number.

It is an amenable number.

312211322000 is an abundant number, since it is smaller than the sum of its proper divisors (447783004000).

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

312211322000 is a wasteful number, since it uses less digits than its factorization.

312211322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047861 (or 1047845 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 312211322000 its reverse (223112213), we get a palindrome (312434434213).

The spelling of 312211322000 in words is "three hundred twelve billion, two hundred eleven million, three hundred twenty-two thousand".