312041220125200 has 240 divisors, whose sum is σ = 759147684094800. Its totient is φ = 123250734530560.

The previous prime is 312041220125191. The next prime is 312041220125263. The reversal of 312041220125200 is 2521022140213.

It can be written as a sum of positive squares in 24 ways, for example, as 230562723541264 + 81478496583936 = 15184292^2 + 9026544^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13394039952 + ... + 13394063248.

It is an arithmetic number, because the mean of its divisors is an integer number (3163115350395).

Almost surely, 2^{312041220125200} 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 312041220125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379573842047400).

312041220125200 is an abundant number, since it is smaller than the sum of its proper divisors (447106463969600).

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

312041220125200 is a wasteful number, since it uses less digits than its factorization.

312041220125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24734 (or 24723 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 312041220125200 its reverse (2521022140213), we get a palindrome (314562242265413).

The spelling of 312041220125200 in words is "three hundred twelve trillion, forty-one billion, two hundred twenty million, one hundred twenty-five thousand, two hundred".