312213040224001 has 12 divisors (see below), whose sum is σ = 384550515330948. Its totient is φ = 251869343373312.

The previous prime is 312213040223983. The next prime is 312213040224011. The reversal of 312213040224001 is 100422040312213.

It can be written as a sum of positive squares in 2 ways, for example, as 262479529488400 + 49733510735601 = 16201220^2 + 7052199^2 .

It is not a de Polignac number, because 312213040224001 - 2¹⁵ = 312213040191233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312213040224011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187402784416 + ... + 187402786081.

It is an arithmetic number, because the mean of its divisors is an integer number (32045876277579).

Almost surely, 2^{312213040224001} is an apocalyptic number.

It is an amenable number.

312213040224001 is a deficient number, since it is larger than the sum of its proper divisors (72337475106947).

312213040224001 is a wasteful number, since it uses less digits than its factorization.

312213040224001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374805570528 (or 374805570521 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 312213040224001 its reverse (100422040312213), we get a palindrome (412635080536214).

The spelling of 312213040224001 in words is "three hundred twelve trillion, two hundred thirteen billion, forty million, two hundred twenty-four thousand, one".