312001141241441 has 16 divisors (see below), whose sum is σ = 319904454936000. Its totient is φ = 304127287511040.

The previous prime is 312001141241407. The next prime is 312001141241459. The reversal of 312001141241441 is 144142141100213.

It is a cyclic number.

It is not a de Polignac number, because 312001141241441 - 2¹⁴ = 312001141225057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312001141441441) 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, 1037359961 + ... + 1037660681.

It is an arithmetic number, because the mean of its divisors is an integer number (19994028433500).

Almost surely, 2^{312001141241441} is an apocalyptic number.

It is an amenable number.

312001141241441 is a deficient number, since it is larger than the sum of its proper divisors (7903313694559).

312001141241441 is a wasteful number, since it uses less digits than its factorization.

312001141241441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349616.

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 312001141241441 its reverse (144142141100213), we get a palindrome (456143282341654).

The spelling of 312001141241441 in words is "three hundred twelve trillion, one billion, one hundred forty-one million, two hundred forty-one thousand, four hundred forty-one".