312081132 has 96 divisors (see below), whose sum is σ = 814544640. Its totient is φ = 92206080.

The previous prime is 312081131. The next prime is 312081163. The reversal of 312081132 is 231180213.

It is a junction number, because it is equal to n+sod(n) for n = 312081099 and 312081108.

It is not an unprimeable number, because it can be changed into a prime (312081131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1339288 + ... + 1339520.

It is an arithmetic number, because the mean of its divisors is an integer number (8484840).

Almost surely, 2^312081132 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 312081132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407272320).

312081132 is an abundant number, since it is smaller than the sum of its proper divisors (502463508).

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

312081132 is a wasteful number, since it uses less digits than its factorization.

312081132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 312081132 is about 17665.8181808825. The cubic root of 312081132 is about 678.3010732015.

It can be divided in two parts, 312081 and 132, that added together give a palindrome (312213).

The spelling of 312081132 in words is "three hundred twelve million, eighty-one thousand, one hundred thirty-two".