312123313200 has 240 divisors, whose sum is σ = 1056572910720. Its totient is φ = 78543912960.

The previous prime is 312123313193. The next prime is 312123313223. The reversal of 312123313200 is 2313321213.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5832967 + ... + 5886233.

It is an arithmetic number, because the mean of its divisors is an integer number (4402387128).

Almost surely, 2^312123313200 is an apocalyptic number.

312123313200 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 312123313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528286455360).

312123313200 is an abundant number, since it is smaller than the sum of its proper divisors (744449597520).

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

312123313200 is a wasteful number, since it uses less digits than its factorization.

312123313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53564 (or 53553 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312123313200 its reverse (2313321213), we get a palindrome (314436634413).

The spelling of 312123313200 in words is "three hundred twelve billion, one hundred twenty-three million, three hundred thirteen thousand, two hundred".