312142412002221 has 6 divisors (see below), whose sum is σ = 450872372892110. Its totient is φ = 208094941334808.

The previous prime is 312142412002153. The next prime is 312142412002229. The reversal of 312142412002221 is 122200214241213.

312142412002221 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 424 + 12 + 0 + 0 + 2 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 235780785074025 + 76361626928196 = 15355155^2 + 8738514^2 .

It is not a de Polignac number, because 312142412002221 - 2³³ = 312133822067629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312142412002229) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17341245111226 + ... + 17341245111243.

Almost surely, 2^{312142412002221} is an apocalyptic number.

It is an amenable number.

312142412002221 is a deficient number, since it is larger than the sum of its proper divisors (138729960889889).

312142412002221 is a wasteful number, since it uses less digits than its factorization.

312142412002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34682490222475 (or 34682490222472 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 312142412002221 its reverse (122200214241213), we get a palindrome (434342626243434).

The spelling of 312142412002221 in words is "three hundred twelve trillion, one hundred forty-two billion, four hundred twelve million, two thousand, two hundred twenty-one".