312132 has 36 divisors (see below), whose sum is σ = 787920. Its totient is φ = 95904.

The previous prime is 312121. The next prime is 312161. The reversal of 312132 is 231213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 312132.

It is an unprimeable number.

312132 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8418 + ... + 8454.

2³¹²¹³² 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 312132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393960).

312132 is an abundant number, since it is smaller than the sum of its proper divisors (475788).

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

312132 is a wasteful number, since it uses less digits than its factorization.

312132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 61 counting only the distinct ones).

The product of its digits is 36, while the sum is 12.

The square root of 312132 is about 558.6877482100. The cubic root of 312132 is about 67.8337924670.

Adding to 312132 its reverse (231213), we get a palindrome (543345).

It can be divided in two parts, 31213 and 2, that multiplied together give a palindrome (62426).

The spelling of 312132 in words is "three hundred twelve thousand, one hundred thirty-two".