311111109120 has 640 divisors, whose sum is σ = 1181135831040. Its totient is φ = 68351754240.

The previous prime is 311111109107. The next prime is 311111109217. The reversal of 311111109120 is 21901111113.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 671946009 + ... + 671946471.

It is an arithmetic number, because the mean of its divisors is an integer number (1845524736).

Almost surely, 2^311111109120 is an apocalyptic number.

311111109120 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 311111109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590567915520).

311111109120 is an abundant number, since it is smaller than the sum of its proper divisors (870024721920).

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

311111109120 is a wasteful number, since it uses less digits than its factorization.

311111109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 21.

The spelling of 311111109120 in words is "three hundred eleven billion, one hundred eleven million, one hundred nine thousand, one hundred twenty".