312122128 has 40 divisors (see below), whose sum is σ = 627192000. Its totient is φ = 150294144.

The previous prime is 312122119. The next prime is 312122143. The reversal of 312122128 is 821221213.

312122128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 312122099 and 312122108.

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, 277375 + ... + 278497.

It is an arithmetic number, because the mean of its divisors is an integer number (15679800).

Almost surely, 2^312122128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312122128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313596000).

312122128 is an abundant number, since it is smaller than the sum of its proper divisors (315069872).

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

312122128 is a wasteful number, since it uses less digits than its factorization.

312122128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1753 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 312122128 is about 17666.9784626574. The cubic root of 312122128 is about 678.3307731848.

The spelling of 312122128 in words is "three hundred twelve million, one hundred twenty-two thousand, one hundred twenty-eight".