312141203242320 has 40 divisors (see below), whose sum is σ = 967637730051936. Its totient is φ = 83237654197888.

The previous prime is 312141203242283. The next prime is 312141203242343. The reversal of 312141203242320 is 23242302141213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 650294173182 + ... + 650294173661.

Almost surely, 2^{312141203242320} is an apocalyptic number.

312141203242320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312141203242320 is an abundant number, since it is smaller than the sum of its proper divisors (655496526809616).

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

312141203242320 is a wasteful number, since it uses less digits than its factorization.

312141203242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300588346859 (or 1300588346853 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 312141203242320 its reverse (23242302141213), we get a palindrome (335383505383533).

The spelling of 312141203242320 in words is "three hundred twelve trillion, one hundred forty-one billion, two hundred three million, two hundred forty-two thousand, three hundred twenty".