3120311120 has 40 divisors (see below), whose sum is σ = 7258482600. Its totient is φ = 1247477760.

The previous prime is 3120311099. The next prime is 3120311137. The reversal of 3120311120 is 211130213.

It can be written as a sum of positive squares in 4 ways, for example, as 969948736 + 2150362384 = 31144^2 + 46372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 3120311095 and 3120311104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163856 + ... + 181904.

It is an arithmetic number, because the mean of its divisors is an integer number (181462065).

Almost surely, 2^3120311120 is an apocalyptic number.

It is an amenable number.

3120311120 is an abundant number, since it is smaller than the sum of its proper divisors (4138171480).

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

3120311120 is a wasteful number, since it uses less digits than its factorization.

3120311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20223 (or 20217 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 3120311120 is about 55859.7450763965. The cubic root of 3120311120 is about 1461.2772834416.

Adding to 3120311120 its reverse (211130213), we get a palindrome (3331441333).

The spelling of 3120311120 in words is "three billion, one hundred twenty million, three hundred eleven thousand, one hundred twenty".