311020212000 has 192 divisors, whose sum is σ = 1035607966848. Its totient is φ = 81578880000.

The previous prime is 311020211959. The next prime is 311020212029. The reversal of 311020212000 is 212020113.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 519555 + ... + 944445.

It is an arithmetic number, because the mean of its divisors is an integer number (5393791494).

Almost surely, 2^311020212000 is an apocalyptic number.

311020212000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311020212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517803983424).

311020212000 is an abundant number, since it is smaller than the sum of its proper divisors (724587754848).

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

311020212000 is a wasteful number, since it uses less digits than its factorization.

311020212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424980 (or 424962 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 311020212000 its reverse (212020113), we get a palindrome (311232232113).

The spelling of 311020212000 in words is "three hundred eleven billion, twenty million, two hundred twelve thousand".