312300120 has 128 divisors (see below), whose sum is σ = 1032445440. Its totient is φ = 74941440.

The previous prime is 312300113. The next prime is 312300167. The reversal of 312300120 is 21003213.

It is a happy number.

312300120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 312300096 and 312300105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134812 + ... + 137108.

It is an arithmetic number, because the mean of its divisors is an integer number (8065980).

Almost surely, 2^312300120 is an apocalyptic number.

312300120 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 312300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516222720).

312300120 is an abundant number, since it is smaller than the sum of its proper divisors (720145320).

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

312300120 is a wasteful number, since it uses less digits than its factorization.

312300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 312300120 is about 17672.0151652266. The cubic root of 312300120 is about 678.4596912126.

Adding to 312300120 its reverse (21003213), we get a palindrome (333303333).

The spelling of 312300120 in words is "three hundred twelve million, three hundred thousand, one hundred twenty".