312126 has 8 divisors (see below), whose sum is σ = 624264. Its totient is φ = 104040.

The previous prime is 312121. The next prime is 312161. The reversal of 312126 is 621213.

312126 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

312126 is an admirable number.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312121) by changing a digit.

312126 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26005 + ... + 26016.

It is an arithmetic number, because the mean of its divisors is an integer number (78033).

2³¹²¹²⁶ is an apocalyptic number.

312126 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

312126 is a wasteful number, since it uses less digits than its factorization.

312126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52026.

The product of its digits is 72, while the sum is 15.

The square root of 312126 is about 558.6823784585. The cubic root of 312126 is about 67.8333578161.

Adding to 312126 its reverse (621213), we get a palindrome (933339).

The spelling of 312126 in words is "three hundred twelve thousand, one hundred twenty-six".