312011231121 has 16 divisors (see below), whose sum is σ = 462560140800. Its totient is φ = 207862911504.

The previous prime is 312011231087. The next prime is 312011231143. The reversal of 312011231121 is 121132110213.

312011231121 is a `hidden beast` number, since 312 + 0 + 1 + 1 + 231 + 121 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-312011231121 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 312011231094 and 312011231103.

It is not an unprimeable number, because it can be changed into a prime (312011231171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3976426 + ... + 4054131.

It is an arithmetic number, because the mean of its divisors is an integer number (28910008800).

Almost surely, 2^312011231121 is an apocalyptic number.

It is an amenable number.

312011231121 is a deficient number, since it is larger than the sum of its proper divisors (150548909679).

312011231121 is a wasteful number, since it uses less digits than its factorization.

312011231121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8032005 (or 8031999 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 312011231121 its reverse (121132110213), we get a palindrome (433143341334).

The spelling of 312011231121 in words is "three hundred twelve billion, eleven million, two hundred thirty-one thousand, one hundred twenty-one".