312223312000 has 64 divisors (see below), whose sum is σ = 776265249240. Its totient is φ = 124889318400.

The previous prime is 312223311979. The next prime is 312223312001. The reversal of 312223312000 is 213322213.

It can be written as a sum of positive squares in 4 ways, for example, as 13136827456 + 299086484544 = 114616^2 + 546888^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (312223312001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9740979 + ... + 9772978.

Almost surely, 2^312223312000 is an apocalyptic number.

It is an amenable number.

312223312000 is an abundant number, since it is smaller than the sum of its proper divisors (464041937240).

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

312223312000 is an equidigital number, since it uses as much as digits as its factorization.

312223312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19513986 (or 19513964 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 312223312000 its reverse (213322213), we get a palindrome (312436634213).

The spelling of 312223312000 in words is "three hundred twelve billion, two hundred twenty-three million, three hundred twelve thousand".