312201434000441 has 4 divisors (see below), whose sum is σ = 312201494016384. Its totient is φ = 312201373984500.

The previous prime is 312201434000431. The next prime is 312201434000447. The reversal of 312201434000441 is 144000434102213.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 312201434000441 - 2³⁸ = 311926556093497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312201434000447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21377645 + ... + 32884746.

It is an arithmetic number, because the mean of its divisors is an integer number (78050373504096).

Almost surely, 2^{312201434000441} is an apocalyptic number.

It is an amenable number.

312201434000441 is a deficient number, since it is larger than the sum of its proper divisors (60015943).

312201434000441 is an equidigital number, since it uses as much as digits as its factorization.

312201434000441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60015942.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 312201434000441 its reverse (144000434102213), we get a palindrome (456201868102654).

The spelling of 312201434000441 in words is "three hundred twelve trillion, two hundred one billion, four hundred thirty-four million, four hundred forty-one", and thus it is an aban number.