311211002000 has 80 divisors (see below), whose sum is σ = 752790775152. Its totient is φ = 124437657600.

The previous prime is 311211001943. The next prime is 311211002021. The reversal of 311211002000 is 200112113.

It can be written as a sum of positive squares in 8 ways, for example, as 131557093264 + 179653908736 = 362708^2 + 423856^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5566184 + ... + 5621816.

Almost surely, 2^311211002000 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 311211002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376395387576).

311211002000 is an abundant number, since it is smaller than the sum of its proper divisors (441579773152).

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

311211002000 is a wasteful number, since it uses less digits than its factorization.

311211002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58453 (or 58437 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 311211002000 its reverse (200112113), we get a palindrome (311411114113).

The spelling of 311211002000 in words is "three hundred eleven billion, two hundred eleven million, two thousand".