312221133033121 has 16 divisors (see below), whose sum is σ = 337226662906000. Its totient is φ = 287356943132928.

The previous prime is 312221133033119. The next prime is 312221133033137. The reversal of 312221133033121 is 121330331122213.

It can be written as a sum of positive squares in 8 ways, for example, as 2680214282496 + 309540918750625 = 1637136^2 + 17593775^2 .

It is a cyclic number.

It is not a de Polignac number, because 312221133033121 - 2¹ = 312221133033119 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 312221133033121.

It is not an unprimeable number, because it can be changed into a prime (312221133031121) 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, 58592035 + ... + 63698263.

It is an arithmetic number, because the mean of its divisors is an integer number (21076666431625).

Almost surely, 2^{312221133033121} is an apocalyptic number.

It is an amenable number.

312221133033121 is a deficient number, since it is larger than the sum of its proper divisors (25005529872879).

312221133033121 is a wasteful number, since it uses less digits than its factorization.

312221133033121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5120068.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 312221133033121 its reverse (121330331122213), we get a palindrome (433551464155334).

The spelling of 312221133033121 in words is "three hundred twelve trillion, two hundred twenty-one billion, one hundred thirty-three million, thirty-three thousand, one hundred twenty-one".