312216300 has 324 divisors, whose sum is σ = 1116574368. Its totient is φ = 72864000.

The previous prime is 312216299. The next prime is 312216301. The reversal of 312216300 is 3612213.

312216300 is a `hidden beast` number, since 3 + 12 + 21 + 630 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (312216299) and next prime (312216301).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (312216301) 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 107 ways as a sum of consecutive naturals, for example, 5118270 + ... + 5118330.

Almost surely, 2^312216300 is an apocalyptic number.

312216300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312216300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558287184).

312216300 is an abundant number, since it is smaller than the sum of its proper divisors (804358068).

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

312216300 is a wasteful number, since it uses less digits than its factorization.

312216300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 312216300 is about 17669.6434599004. The cubic root of 312216300 is about 678.3989872335.

Adding to 312216300 its reverse (3612213), we get a palindrome (315828513).

It can be divided in two parts, 312 and 216300, that added together give a palindrome (216612).

The spelling of 312216300 in words is "three hundred twelve million, two hundred sixteen thousand, three hundred".