312223132324000 has 48 divisors (see below), whose sum is σ = 767132236129896. Its totient is φ = 124889252928000.

The previous prime is 312223132323979. The next prime is 312223132324009. The reversal of 312223132324000 is 423231322213.

It can be written as a sum of positive squares in 4 ways, for example, as 147076062210064 + 165147070113936 = 12127492^2 + 12850956^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 312223132324000.

It is not an unprimeable number, because it can be changed into a prime (312223132324009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39027887541 + ... + 39027895540.

Almost surely, 2^{312223132324000} is an apocalyptic number.

It is an amenable number.

312223132324000 is an abundant number, since it is smaller than the sum of its proper divisors (454909103805896).

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

312223132324000 is an equidigital number, since it uses as much as digits as its factorization.

312223132324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78055783106 (or 78055783088 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 312223132324000 its reverse (423231322213), we get a palindrome (312646363646213).

The spelling of 312223132324000 in words is "three hundred twelve trillion, two hundred twenty-three billion, one hundred thirty-two million, three hundred twenty-four thousand".