312311120 has 80 divisors (see below), whose sum is σ = 804109248. Its totient is φ = 111851520.

The previous prime is 312311093. The next prime is 312311123. The reversal of 312311120 is 21113213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 312311095 and 312311104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312311123) 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, 56312 + ... + 61608.

Almost surely, 2^312311120 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 312311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402054624).

312311120 is an abundant number, since it is smaller than the sum of its proper divisors (491798128).

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

312311120 is a wasteful number, since it uses less digits than its factorization.

312311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5388 (or 5382 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 312311120 is about 17672.3263890185. The cubic root of 312311120 is about 678.4676568078.

Adding to 312311120 its reverse (21113213), we get a palindrome (333424333).

The spelling of 312311120 in words is "three hundred twelve million, three hundred eleven thousand, one hundred twenty".