312223404241441 has 48 divisors (see below), whose sum is σ = 405721113321600. Its totient is φ = 237501064120320.

The previous prime is 312223404241421. The next prime is 312223404241471. The reversal of 312223404241441 is 144142404322213.

It is not a de Polignac number, because 312223404241441 - 2²⁷ = 312223270023713 is a prime.

It is a super-2 number, since 2×312223404241441² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312223404241441.

It is not an unprimeable number, because it can be changed into a prime (312223404241421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21776256 + ... + 33145921.

It is an arithmetic number, because the mean of its divisors is an integer number (8452523194200).

Almost surely, 2^{312223404241441} is an apocalyptic number.

It is an amenable number.

312223404241441 is a deficient number, since it is larger than the sum of its proper divisors (93497709080159).

312223404241441 is a wasteful number, since it uses less digits than its factorization.

312223404241441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54922454 (or 54922447 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 312223404241441 its reverse (144142404322213), we get a palindrome (456365808563654).

The spelling of 312223404241441 in words is "three hundred twelve trillion, two hundred twenty-three billion, four hundred four million, two hundred forty-one thousand, four hundred forty-one".