312712218 has 96 divisors (see below), whose sum is σ = 870649920. Its totient is φ = 82464480.

The previous prime is 312712199. The next prime is 312712219. The reversal of 312712218 is 812217213.

It is a super-3 number, since 3×312712218³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 312712191 and 312712200.

It is not an unprimeable number, because it can be changed into a prime (312712219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29853 + ... + 38943.

It is an arithmetic number, because the mean of its divisors is an integer number (9069270).

Almost surely, 2^312712218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312712218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435324960).

312712218 is an abundant number, since it is smaller than the sum of its proper divisors (557937702).

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

312712218 is a wasteful number, since it uses less digits than its factorization.

312712218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9129 (or 9116 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 312712218 is about 17683.6709424260. The cubic root of 312712218 is about 678.7579822632.

It can be divided in two parts, 31271 and 2218, that added together give a square (33489 = 183²).

The spelling of 312712218 in words is "three hundred twelve million, seven hundred twelve thousand, two hundred eighteen".