312333121122 has 64 divisors (see below), whose sum is σ = 700408798848. Its totient is φ = 92017728000.

The previous prime is 312333121003. The next prime is 312333121147. The reversal of 312333121122 is 221121333213.

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 = 312333121092 and 312333121101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3177472 + ... + 3274292.

It is an arithmetic number, because the mean of its divisors is an integer number (10943887482).

Almost surely, 2^312333121122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312333121122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350204399424).

312333121122 is an abundant number, since it is smaller than the sum of its proper divisors (388075677726).

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

312333121122 is a wasteful number, since it uses less digits than its factorization.

312333121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98195.

The product of its digits is 1296, while the sum is 24.

Adding to 312333121122 its reverse (221121333213), we get a palindrome (533454454335).

The spelling of 312333121122 in words is "three hundred twelve billion, three hundred thirty-three million, one hundred twenty-one thousand, one hundred twenty-two".