311000120 has 32 divisors (see below), whose sum is σ = 700362720. Its totient is φ = 124291200.

The previous prime is 311000099. The next prime is 311000161. The reversal of 311000120 is 21000113.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 311000098 and 311000107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55445 + ... + 60795.

It is an arithmetic number, because the mean of its divisors is an integer number (21886335).

Almost surely, 2^311000120 is an apocalyptic number.

It is an amenable number.

311000120 is an abundant number, since it is smaller than the sum of its proper divisors (389362600).

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

311000120 is a wasteful number, since it uses less digits than its factorization.

311000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6815 (or 6811 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 311000120 is about 17635.1954908359. The cubic root of 311000120 is about 677.5169823678.

Adding to 311000120 its reverse (21000113), we get a palindrome (332000233).

The spelling of 311000120 in words is "three hundred eleven million, one hundred twenty", and thus it is an aban number.