312114220 has 72 divisors (see below), whose sum is σ = 759714480. Its totient is φ = 106798080.

The previous prime is 312114217. The next prime is 312114221. The reversal of 312114220 is 22411213.

It is a junction number, because it is equal to n+sod(n) for n = 312114194 and 312114203.

It is not an unprimeable number, because it can be changed into a prime (312114221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61126 + ... + 66034.

It is an arithmetic number, because the mean of its divisors is an integer number (10551590).

Almost surely, 2^312114220 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 312114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379857240).

312114220 is an abundant number, since it is smaller than the sum of its proper divisors (447600260).

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

312114220 is a wasteful number, since it uses less digits than its factorization.

312114220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 312114220 is about 17666.7546538689. The cubic root of 312114220 is about 678.3250443535.

Adding to 312114220 its reverse (22411213), we get a palindrome (334525433).

The spelling of 312114220 in words is "three hundred twelve million, one hundred fourteen thousand, two hundred twenty".