312201222042321 has 48 divisors (see below), whose sum is σ = 456963114316800. Its totient is φ = 205380677227104.

The previous prime is 312201222042271. The next prime is 312201222042361. The reversal of 312201222042321 is 123240222102213.

312201222042321 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 0 + 12 + 220 + 423 + 2 + 1 = 666.

It is not a de Polignac number, because 312201222042321 - 2⁶ = 312201222042257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312201222042361) 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, 2508404190 + ... + 2508528648.

It is an arithmetic number, because the mean of its divisors is an integer number (9520064881600).

Almost surely, 2^{312201222042321} is an apocalyptic number.

It is an amenable number.

312201222042321 is a deficient number, since it is larger than the sum of its proper divisors (144761892274479).

312201222042321 is a wasteful number, since it uses less digits than its factorization.

312201222042321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136778 (or 136775 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 312201222042321 its reverse (123240222102213), we get a palindrome (435441444144534).

The spelling of 312201222042321 in words is "three hundred twelve trillion, two hundred one billion, two hundred twenty-two million, forty-two thousand, three hundred twenty-one".