312032120 has 64 divisors (see below), whose sum is σ = 721116000. Its totient is φ = 121471488.

The previous prime is 312032113. The next prime is 312032129. The reversal of 312032120 is 21230213.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 312032095 and 312032104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312032129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256634 + ... + 257846.

Almost surely, 2^312032120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360558000).

312032120 is an abundant number, since it is smaller than the sum of its proper divisors (409083880).

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

312032120 is a wasteful number, since it uses less digits than its factorization.

312032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 312032120 is about 17664.4309277146. The cubic root of 312032120 is about 678.2655625289.

Adding to 312032120 its reverse (21230213), we get a palindrome (333262333).

The spelling of 312032120 in words is "three hundred twelve million, thirty-two thousand, one hundred twenty".