312142140013221 has 24 divisors (see below), whose sum is σ = 515919200247360. Its totient is φ = 178146458830656.

The previous prime is 312142140013181. The next prime is 312142140013237. The reversal of 312142140013221 is 122310041241213.

312142140013221 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 4 + 21 + 400 + 13 + 221 = 666.

It is not a de Polignac number, because 312142140013221 - 2⁹ = 312142140012709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312142140013261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3062147515 + ... + 3062249448.

It is an arithmetic number, because the mean of its divisors is an integer number (21496633343640).

Almost surely, 2^{312142140013221} is an apocalyptic number.

It is an amenable number.

312142140013221 is a deficient number, since it is larger than the sum of its proper divisors (203777060234139).

312142140013221 is a wasteful number, since it uses less digits than its factorization.

312142140013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124397785 (or 6124397782 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 312142140013221 its reverse (122310041241213), we get a palindrome (434452181254434).

The spelling of 312142140013221 in words is "three hundred twelve trillion, one hundred forty-two billion, one hundred forty million, thirteen thousand, two hundred twenty-one".