312142441330020 has 48 divisors (see below), whose sum is σ = 998855812257408. Its totient is φ = 71346843732480.

The previous prime is 312142441329997. The next prime is 312142441330021. The reversal of 312142441330020 is 20033144241213.

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

It is a self number, because there is not a number n which added to its sum of digits gives 312142441330020.

It is not an unprimeable number, because it can be changed into a prime (312142441330021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371598144021 + ... + 371598144860.

It is an arithmetic number, because the mean of its divisors is an integer number (20809496088696).

Almost surely, 2^{312142441330020} is an apocalyptic number.

312142441330020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312142441330020 is an abundant number, since it is smaller than the sum of its proper divisors (686713370927388).

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

312142441330020 is a wasteful number, since it uses less digits than its factorization.

312142441330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743196288900 (or 743196288898 counting only the distinct ones).

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

Adding to 312142441330020 its reverse (20033144241213), we get a palindrome (332175585571233).

The spelling of 312142441330020 in words is "three hundred twelve trillion, one hundred forty-two billion, four hundred forty-one million, three hundred thirty thousand, twenty".