312311441000 has 64 divisors (see below), whose sum is σ = 787024864080. Its totient is φ = 115314988800.

The previous prime is 312311440999. The next prime is 312311441023. The reversal of 312311441000 is 144113213.

It can be written as a sum of positive squares in 8 ways, for example, as 1110355684 + 311201085316 = 33322^2 + 557854^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11998979 + ... + 12024978.

Almost surely, 2^312311441000 is an apocalyptic number.

It is an amenable number.

312311441000 is an abundant number, since it is smaller than the sum of its proper divisors (474713423080).

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

312311441000 is a wasteful number, since it uses less digits than its factorization.

312311441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24023991 (or 24023977 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 312311441000 its reverse (144113213), we get a palindrome (312455554213).

The spelling of 312311441000 in words is "three hundred twelve billion, three hundred eleven million, four hundred forty-one thousand".