312105120 has 96 divisors (see below), whose sum is σ = 1007173440. Its totient is φ = 81192960.

The previous prime is 312105119. The next prime is 312105121. The reversal of 312105120 is 21501213.

It is an interprime number because it is at equal distance from previous prime (312105119) and next prime (312105121).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 312105120.

It is not an unprimeable number, because it can be changed into a prime (312105121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11751 + ... + 27609.

It is an arithmetic number, because the mean of its divisors is an integer number (10491390).

Almost surely, 2^312105120 is an apocalyptic number.

312105120 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 312105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503586720).

312105120 is an abundant number, since it is smaller than the sum of its proper divisors (695068320).

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

312105120 is a wasteful number, since it uses less digits than its factorization.

312105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15918 (or 15910 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 312105120 is about 17666.4971061045. The cubic root of 312105120 is about 678.3184518760.

Adding to 312105120 its reverse (21501213), we get a palindrome (333606333).

The spelling of 312105120 in words is "three hundred twelve million, one hundred five thousand, one hundred twenty".