126312 has 32 divisors (see below), whose sum is σ = 333600. Its totient is φ = 39744.

The previous prime is 126311. The next prime is 126317. The reversal of 126312 is 213621.

126312 is nontrivially palindromic in base 13.

126312 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

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 = 126291 and 126300.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126312.

It is not an unprimeable number, because it can be changed into a prime (126311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318 + ... + 594.

It is an arithmetic number, because the mean of its divisors is an integer number (10425).

2¹²⁶³¹² is an apocalyptic number.

126312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166800).

126312 is an abundant number, since it is smaller than the sum of its proper divisors (207288).

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

126312 is a wasteful number, since it uses less digits than its factorization.

126312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

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

The square root of 126312 is about 355.4039954756. The cubic root of 126312 is about 50.1743248440.

Adding to 126312 its reverse (213621), we get a palindrome (339933).

It can be divided in two parts, 1263 and 12, that added together give a triangular number (1275 = T₅₀).

The spelling of 126312 in words is "one hundred twenty-six thousand, three hundred twelve".