312120 has 96 divisors (see below), whose sum is σ = 1105200. Its totient is φ = 78336.

The previous prime is 312107. The next prime is 312121. The reversal of 312120 is 21213.

It is a happy number.

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

It is a congruent number.

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

312120 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 23 ways as a sum of consecutive naturals, for example, 18352 + ... + 18368.

2³¹²¹²⁰ is an apocalyptic number.

312120 is a gapful number since it is divisible by the number (30) 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 312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552600).

312120 is an abundant number, since it is smaller than the sum of its proper divisors (793080).

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

312120 is a wasteful number, since it uses less digits than its factorization.

312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 27 counting only the distinct ones).

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

The square root of 312120 is about 558.6770086553. The cubic root of 312120 is about 67.8329231597.

Adding to 312120 its reverse (21213), we get a palindrome (333333).

The spelling of 312120 in words is "three hundred twelve thousand, one hundred twenty", and thus it is an iban number.