311121312 has 48 divisors (see below), whose sum is σ = 820888992. Its totient is φ = 103174400.

The previous prime is 311121311. The next prime is 311121319. The reversal of 311121312 is 213121113.

It is a happy number.

311121312 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 (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 311121291 and 311121300.

It is not an unprimeable number, because it can be changed into a prime (311121311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10687 + ... + 27137.

It is an arithmetic number, because the mean of its divisors is an integer number (17101854).

Almost surely, 2^311121312 is an apocalyptic number.

311121312 is a gapful number since it is divisible by the number (32) 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 311121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410444496).

311121312 is an abundant number, since it is smaller than the sum of its proper divisors (509767680).

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

311121312 is a wasteful number, since it uses less digits than its factorization.

311121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16661 (or 16653 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 311121312 is about 17638.6312394131. The cubic root of 311121312 is about 677.6049769477.

Adding to 311121312 its reverse (213121113), we get a palindrome (524242425).

The spelling of 311121312 in words is "three hundred eleven million, one hundred twenty-one thousand, three hundred twelve".