312311012000 has 192 divisors, whose sum is σ = 874987704864. Its totient is φ = 108531302400.

The previous prime is 312311011967. The next prime is 312311012011. The reversal of 312311012000 is 210113213.

It can be written as a sum of positive squares in 16 ways, for example, as 5807049616 + 306503962384 = 76204^2 + 553628^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707354 + ... + 1060646.

Almost surely, 2^312311012000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312311012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437493852432).

312311012000 is an abundant number, since it is smaller than the sum of its proper divisors (562676692864).

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

312311012000 is a wasteful number, since it uses less digits than its factorization.

312311012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353348 (or 353330 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 312311012000 its reverse (210113213), we get a palindrome (312521125213).

The spelling of 312311012000 in words is "three hundred twelve billion, three hundred eleven million, twelve thousand".