3112312000320 has 84 divisors (see below), whose sum is σ = 10705056494340. Its totient is φ = 829949865984.

The previous prime is 3112312000277. The next prime is 3112312000333. The reversal of 3112312000320 is 230002132113.

3112312000320 is a `hidden beast` number, since 3 + 112 + 31 + 200 + 0 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 669267975744 + 2443044024576 = 818088^2 + 1563024^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3112312000293 and 3112312000302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 540329065 + ... + 540334824.

Almost surely, 2^{3112312000320} is an apocalyptic number.

3112312000320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3112312000320 is an abundant number, since it is smaller than the sum of its proper divisors (7592744494020).

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

3112312000320 is a wasteful number, since it uses less digits than its factorization.

3112312000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080663912 (or 1080663899 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3112312000320 its reverse (230002132113), we get a palindrome (3342314132433).

The spelling of 3112312000320 in words is "three trillion, one hundred twelve billion, three hundred twelve million, three hundred twenty", and thus it is an aban number.