312121022121 has 12 divisors (see below), whose sum is σ = 450945485172. Its totient is φ = 208032677376.

The previous prime is 312121022099. The next prime is 312121022141. The reversal of 312121022121 is 121220121213.

312121022121 is a `hidden beast` number, since 312 + 1 + 210 + 22 + 121 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24598785600 + 287522236521 = 156840^2 + 536211^2 .

It is not a de Polignac number, because 312121022121 - 2⁵ = 312121022089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312121022094 and 312121022103.

It is not an unprimeable number, because it can be changed into a prime (312121022141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3959136 + ... + 4037201.

It is an arithmetic number, because the mean of its divisors is an integer number (37578790431).

Almost surely, 2^312121022121 is an apocalyptic number.

It is an amenable number.

312121022121 is a deficient number, since it is larger than the sum of its proper divisors (138824463051).

312121022121 is a wasteful number, since it uses less digits than its factorization.

312121022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8000680 (or 8000677 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 312121022121 its reverse (121220121213), we get a palindrome (433341143334).

The spelling of 312121022121 in words is "three hundred twelve billion, one hundred twenty-one million, twenty-two thousand, one hundred twenty-one".