312222303200 has 288 divisors, whose sum is σ = 835946496000. Its totient is φ = 113430067200.

The previous prime is 312222303167. The next prime is 312222303203. The reversal of 312222303200 is 2303222213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312222303203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51357761 + ... + 51363839.

It is an arithmetic number, because the mean of its divisors is an integer number (2902592000).

Almost surely, 2^312222303200 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 312222303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417973248000).

312222303200 is an abundant number, since it is smaller than the sum of its proper divisors (523724192800).

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

312222303200 is a wasteful number, since it uses less digits than its factorization.

312222303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6258 (or 6245 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 312222303200 its reverse (2303222213), we get a palindrome (314525525413).

The spelling of 312222303200 in words is "three hundred twelve billion, two hundred twenty-two million, three hundred three thousand, two hundred".