125312 has 32 divisors (see below), whose sum is σ = 275400. Its totient is φ = 56320.

The previous prime is 125311. The next prime is 125329. The reversal of 125312 is 213521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125311) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1364 + ... + 1452.

2¹²⁵³¹² 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 125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137700).

125312 is an abundant number, since it is smaller than the sum of its proper divisors (150088).

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

125312 is an equidigital number, since it uses as much as digits as its factorization.

125312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its digits is 60, while the sum is 14.

The square root of 125312 is about 353.9943502374. The cubic root of 125312 is about 50.0415654367.

Adding to 125312 its reverse (213521), we get a palindrome (338833).

Subtracting 125312 from its reverse (213521), we obtain a square (88209 = 297²).

The spelling of 125312 in words is "one hundred twenty-five thousand, three hundred twelve".