311211312 has 40 divisors (see below), whose sum is σ = 817596480. Its totient is φ = 101977920.

The previous prime is 311211301. The next prime is 311211349. The reversal of 311211312 is 213112113.

It is a happy number.

It is a super-2 number, since 2×311211312² = 193704961433522688, which contains 22 as substring.

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 = 311211291 and 311211300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52114 + ... + 57777.

It is an arithmetic number, because the mean of its divisors is an integer number (20439912).

Almost surely, 2^311211312 is an apocalyptic number.

It is an amenable number.

311211312 is an abundant number, since it is smaller than the sum of its proper divisors (506385168).

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

311211312 is a wasteful number, since it uses less digits than its factorization.

311211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109961 (or 109955 counting only the distinct ones).

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

The square root of 311211312 is about 17641.1822733058. The cubic root of 311211312 is about 677.6703089861.

Adding to 311211312 its reverse (213112113), we get a palindrome (524323425).

The spelling of 311211312 in words is "three hundred eleven million, two hundred eleven thousand, three hundred twelve".