312001431120241 has 8 divisors (see below), whose sum is σ = 322763462732520. Its totient is φ = 301239623612928.

The previous prime is 312001431120233. The next prime is 312001431120251. The reversal of 312001431120241 is 142021134100213.

It can be written as a sum of positive squares in 4 ways, for example, as 9584844483600 + 302416586636641 = 3095940^2 + 17390129^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 312001431120241 - 2³ = 312001431120233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312001431120251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53191366 + ... + 58764991.

It is an arithmetic number, because the mean of its divisors is an integer number (40345432841565).

Almost surely, 2^{312001431120241} is an apocalyptic number.

It is an amenable number.

312001431120241 is a deficient number, since it is larger than the sum of its proper divisors (10762031612279).

312001431120241 is a wasteful number, since it uses less digits than its factorization.

312001431120241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112052483.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 312001431120241 its reverse (142021134100213), we get a palindrome (454022565220454).

The spelling of 312001431120241 in words is "three hundred twelve trillion, one billion, four hundred thirty-one million, one hundred twenty thousand, two hundred forty-one".