312133122 has 32 divisors (see below), whose sum is σ = 792720000. Its totient is φ = 89180784.

The previous prime is 312133109. The next prime is 312133139. The reversal of 312133122 is 221331213.

312133122 is a `hidden beast` number, since 312 + 1 + 331 + 22 = 666.

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

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 = 312133095 and 312133104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412497 + ... + 413252.

It is an arithmetic number, because the mean of its divisors is an integer number (24772500).

Almost surely, 2^312133122 is an apocalyptic number.

312133122 is an abundant number, since it is smaller than the sum of its proper divisors (480586878).

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

312133122 is a wasteful number, since it uses less digits than its factorization.

312133122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825767 (or 825761 counting only the distinct ones).

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

The square root of 312133122 is about 17667.2896053696. The cubic root of 312133122 is about 678.3387374615.

Adding to 312133122 its reverse (221331213), we get a palindrome (533464335).

The spelling of 312133122 in words is "three hundred twelve million, one hundred thirty-three thousand, one hundred twenty-two".