312142011324441 has 32 divisors (see below), whose sum is σ = 426869614617600. Its totient is φ = 202767299205120.

The previous prime is 312142011324427. The next prime is 312142011324467. The reversal of 312142011324441 is 144423110241213.

It is not a de Polignac number, because 312142011324441 - 2²⁵ = 312141977770009 is a prime.

It is a super-3 number, since 3×312142011324441³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (312142011324641) 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 31 ways as a sum of consecutive naturals, for example, 321671115 + ... + 322640031.

It is an arithmetic number, because the mean of its divisors is an integer number (13339675456800).

Almost surely, 2^{312142011324441} is an apocalyptic number.

It is an amenable number.

312142011324441 is a deficient number, since it is larger than the sum of its proper divisors (114727603293159).

312142011324441 is a wasteful number, since it uses less digits than its factorization.

312142011324441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972209.

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 312142011324441 its reverse (144423110241213), we get a palindrome (456565121565654).

The spelling of 312142011324441 in words is "three hundred twelve trillion, one hundred forty-two billion, eleven million, three hundred twenty-four thousand, four hundred forty-one".