312312022120332 has 288 divisors, whose sum is σ = 854628707552256. Its totient is φ = 95595273446400.

The previous prime is 312312022120283. The next prime is 312312022120333. The reversal of 312312022120332 is 233021220213213.

312312022120332 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 1 + 202 + 2 + 120 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 312312022120296 and 312312022120305.

It is not an unprimeable number, because it can be changed into a prime (312312022120333) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130510664128 + ... + 130510666520.

It is an arithmetic number, because the mean of its divisors is an integer number (2967460790112).

Almost surely, 2^{312312022120332} 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 312312022120332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427314353776128).

312312022120332 is an abundant number, since it is smaller than the sum of its proper divisors (542316685431924).

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

312312022120332 is a wasteful number, since it uses less digits than its factorization.

312312022120332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 312312022120332 its reverse (233021220213213), we get a palindrome (545333242333545).

The spelling of 312312022120332 in words is "three hundred twelve trillion, three hundred twelve billion, twenty-two million, one hundred twenty thousand, three hundred thirty-two".