311111111120 has 80 divisors (see below), whose sum is σ = 744456726720. Its totient is φ = 120861146112.

The previous prime is 311111111111. The next prime is 311111111161. The reversal of 311111111120 is 21111111113.

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

It is a junction number, because it is equal to n+sod(n) for n = 311111111095 and 311111111104.

It is a congruent number.

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, 5309 + ... + 788828.

It is an arithmetic number, because the mean of its divisors is an integer number (9305709084).

Almost surely, 2^311111111120 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 311111111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372228363360).

311111111120 is an abundant number, since it is smaller than the sum of its proper divisors (433345615600).

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

311111111120 is a wasteful number, since it uses less digits than its factorization.

311111111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794292 (or 794286 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 311111111120 its reverse (21111111113), we get a palindrome (332222222233).

The spelling of 311111111120 in words is "three hundred eleven billion, one hundred eleven million, one hundred eleven thousand, one hundred twenty".