311114441220 has 192 divisors, whose sum is σ = 988241264640. Its totient is φ = 72438822400.

The previous prime is 311114441161. The next prime is 311114441237. The reversal of 311114441220 is 22144411113.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3613189 + ... + 3698291.

It is an arithmetic number, because the mean of its divisors is an integer number (5147089920).

Almost surely, 2^311114441220 is an apocalyptic number.

311114441220 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 311114441220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494120632320).

311114441220 is an abundant number, since it is smaller than the sum of its proper divisors (677126823420).

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

311114441220 is a wasteful number, since it uses less digits than its factorization.

311114441220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85346 (or 85344 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 311114441220 its reverse (22144411113), we get a palindrome (333258852333).

The spelling of 311114441220 in words is "three hundred eleven billion, one hundred fourteen million, four hundred forty-one thousand, two hundred twenty".