314112120 has 64 divisors (see below), whose sum is σ = 1076958720. Its totient is φ = 71796864.

The previous prime is 314112109. The next prime is 314112131. The reversal of 314112120 is 21211413.

314112120 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 (314112109) and next prime (314112131).

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 314112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186132 + ... + 187811.

It is an arithmetic number, because the mean of its divisors is an integer number (16827480).

Almost surely, 2^314112120 is an apocalyptic number.

314112120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314112120 is an abundant number, since it is smaller than the sum of its proper divisors (762846600).

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

314112120 is a wasteful number, since it uses less digits than its factorization.

314112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373964 (or 373960 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 314112120 is about 17723.2085131333. The cubic root of 314112120 is about 679.7693277570.

Adding to 314112120 its reverse (21211413), we get a palindrome (335323533).

The spelling of 314112120 in words is "three hundred fourteen million, one hundred twelve thousand, one hundred twenty".