312213311200 has 288 divisors, whose sum is σ = 896267635200. Its totient is φ = 103959521280.

The previous prime is 312213311177. The next prime is 312213311209. The reversal of 312213311200 is 2113312213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312213311209) 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, 153119781 + ... + 153121819.

It is an arithmetic number, because the mean of its divisors is an integer number (3112040400).

Almost surely, 2^312213311200 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 312213311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448133817600).

312213311200 is an abundant number, since it is smaller than the sum of its proper divisors (584054324000).

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

312213311200 is a wasteful number, since it uses less digits than its factorization.

312213311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 312213311200 its reverse (2113312213), we get a palindrome (314326623413).

The spelling of 312213311200 in words is "three hundred twelve billion, two hundred thirteen million, three hundred eleven thousand, two hundred".