312404403011241 has 32 divisors (see below), whose sum is σ = 424740320688640. Its totient is φ = 204205028227200.

The previous prime is 312404403011203. The next prime is 312404403011257. The reversal of 312404403011241 is 142110304404213.

It is a happy number.

It is not a de Polignac number, because 312404403011241 - 2¹⁷ = 312404402880169 is a prime.

It is a super-2 number, since 2×312404403011241² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312404403011199 and 312404403011208.

It is not an unprimeable number, because it can be changed into a prime (312404403411241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35758326 + ... + 43628736.

It is an arithmetic number, because the mean of its divisors is an integer number (13273135021520).

Almost surely, 2^{312404403011241} is an apocalyptic number.

It is an amenable number.

312404403011241 is a deficient number, since it is larger than the sum of its proper divisors (112335917677399).

312404403011241 is a wasteful number, since it uses less digits than its factorization.

312404403011241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7871557.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 312404403011241 its reverse (142110304404213), we get a palindrome (454514707415454).

The spelling of 312404403011241 in words is "three hundred twelve trillion, four hundred four billion, four hundred three million, eleven thousand, two hundred forty-one".