312221210303201 has 16 divisors (see below), whose sum is σ = 313739971736400. Its totient is φ = 310707100139520.

The previous prime is 312221210303161. The next prime is 312221210303227. The reversal of 312221210303201 is 102303012122213.

It can be written as a sum of positive squares in 8 ways, for example, as 17041837086976 + 295179373216225 = 4128176^2 + 17180785^2 .

It is a cyclic number.

It is not a de Polignac number, because 312221210303201 - 2⁴² = 307823163792097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312221210303801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 281946071 + ... + 283051283.

It is an arithmetic number, because the mean of its divisors is an integer number (19608748233525).

Almost surely, 2^{312221210303201} is an apocalyptic number.

It is an amenable number.

312221210303201 is a deficient number, since it is larger than the sum of its proper divisors (1518761433199).

312221210303201 is a wasteful number, since it uses less digits than its factorization.

312221210303201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107316.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 312221210303201 its reverse (102303012122213), we get a palindrome (414524222425414).

The spelling of 312221210303201 in words is "three hundred twelve trillion, two hundred twenty-one billion, two hundred ten million, three hundred three thousand, two hundred one".