312321003142144 has 132 divisors (see below), whose sum is σ = 629595205393176. Its totient is φ = 154852297334784.

The previous prime is 312321003142087. The next prime is 312321003142189. The reversal of 312321003142144 is 441241300123213.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19012654059 + ... + 19012670485.

It is an arithmetic number, because the mean of its divisors is an integer number (4769660646918).

Almost surely, 2^{312321003142144} 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 312321003142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314797602696588).

312321003142144 is an abundant number, since it is smaller than the sum of its proper divisors (317274202251032).

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

312321003142144 is an equidigital number, since it uses as much as digits as its factorization.

312321003142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17258 (or 16933 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 312321003142144 its reverse (441241300123213), we get a palindrome (753562303265357).

The spelling of 312321003142144 in words is "three hundred twelve trillion, three hundred twenty-one billion, three million, one hundred forty-two thousand, one hundred forty-four".