312312121 has 8 divisors (see below), whose sum is σ = 340833024. Its totient is φ = 283812720.

The previous prime is 312312103. The next prime is 312312157. The reversal of 312312121 is 121213213.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312312121 - 2¹⁵ = 312279353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312312095 and 312312104.

It is not an unprimeable number, because it can be changed into a prime (312312821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48715 + ... + 54751.

It is an arithmetic number, because the mean of its divisors is an integer number (42604128).

Almost surely, 2^312312121 is an apocalyptic number.

It is an amenable number.

312312121 is a deficient number, since it is larger than the sum of its proper divisors (28520903).

312312121 is a wasteful number, since it uses less digits than its factorization.

312312121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10751.

The product of its digits is 72, while the sum is 16.

The square root of 312312121 is about 17672.3547101115. The cubic root of 312312121 is about 678.4683816676.

Adding to 312312121 its reverse (121213213), we get a palindrome (433525334).

The spelling of 312312121 in words is "three hundred twelve million, three hundred twelve thousand, one hundred twenty-one".