312420 has 48 divisors (see below), whose sum is σ = 903168. Its totient is φ = 80640.

The previous prime is 312413. The next prime is 312427. The reversal of 312420 is 24213.

312420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (312413) and next prime (312427).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 312396 and 312405.

It is not an unprimeable number, because it can be changed into a prime (312427) by changing a digit.

312420 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2397 + ... + 2523.

It is an arithmetic number, because the mean of its divisors is an integer number (18816).

2³¹²⁴²⁰ is an apocalyptic number.

312420 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 312420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451584).

312420 is an abundant number, since it is smaller than the sum of its proper divisors (590748).

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

312420 is a wasteful number, since it uses less digits than its factorization.

312420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 312420 is about 558.9454356196. The cubic root of 312420 is about 67.8546491631.

Adding to 312420 its reverse (24213), we get a palindrome (336633).

The spelling of 312420 in words is "three hundred twelve thousand, four hundred twenty", and thus it is an iban number.