311121120 has 96 divisors (see below), whose sum is σ = 1003998240. Its totient is φ = 80936960.

The previous prime is 311121073. The next prime is 311121121. The reversal of 311121120 is 21121113.

311121120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 311121096 and 311121105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311121121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11776 + ... + 27584.

It is an arithmetic number, because the mean of its divisors is an integer number (10458315).

Almost surely, 2^311121120 is an apocalyptic number.

311121120 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 311121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501999120).

311121120 is an abundant number, since it is smaller than the sum of its proper divisors (692877120).

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

311121120 is a wasteful number, since it uses less digits than its factorization.

311121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15868 (or 15860 counting only the distinct ones).

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

The square root of 311121120 is about 17638.6257968131. The cubic root of 311121120 is about 677.6048375593.

Adding to 311121120 its reverse (21121113), we get a palindrome (332242233).

The spelling of 311121120 in words is "three hundred eleven million, one hundred twenty-one thousand, one hundred twenty".