120312 has 32 divisors (see below), whose sum is σ = 334800. Its totient is φ = 40032.

The previous prime is 120299. The next prime is 120319. The reversal of 120312 is 213021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 120294 and 120303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120319) by changing a digit.

120312 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63 + ... + 494.

2¹²⁰³¹² is an apocalyptic number.

120312 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 120312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167400).

120312 is an abundant number, since it is smaller than the sum of its proper divisors (214488).

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

120312 is a wasteful number, since it uses less digits than its factorization.

120312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 120312 is about 346.8602023871. The cubic root of 120312 is about 49.3669521680.

Adding to 120312 its reverse (213021), we get a palindrome (333333).

The spelling of 120312 in words is "one hundred twenty thousand, three hundred twelve", and thus it is an iban number.