312141204343020 has 144 divisors (see below), whose sum is σ = 951920201504160. Its totient is φ = 75971444600832.

The previous prime is 312141204343013. The next prime is 312141204343021. The reversal of 312141204343020 is 20343402141213.

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

It is not an unprimeable number, because it can be changed into a prime (312141204343021) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 19082385 + ... + 31439144.

It is an arithmetic number, because the mean of its divisors is an integer number (6610556954890).

Almost surely, 2^{312141204343020} is an apocalyptic number.

312141204343020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312141204343020 is an abundant number, since it is smaller than the sum of its proper divisors (639778997161140).

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

312141204343020 is a wasteful number, since it uses less digits than its factorization.

312141204343020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50521732 (or 50521641 counting only the distinct ones).

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

Adding to 312141204343020 its reverse (20343402141213), we get a palindrome (332484606484233).

The spelling of 312141204343020 in words is "three hundred twelve trillion, one hundred forty-one billion, two hundred four million, three hundred forty-three thousand, twenty".