312251121 has 96 divisors (see below), whose sum is σ = 603203328. Its totient is φ = 150958080.

The previous prime is 312251083. The next prime is 312251161. The reversal of 312251121 is 121152213.

It is not a de Polignac number, because 312251121 - 2¹⁰ = 312250097 is a prime.

It is a super-3 number, since 3×312251121³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312251094 and 312251103.

It is not an unprimeable number, because it can be changed into a prime (312251161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 570570 + ... + 571116.

It is an arithmetic number, because the mean of its divisors is an integer number (6283368).

Almost surely, 2^312251121 is an apocalyptic number.

It is an amenable number.

312251121 is a deficient number, since it is larger than the sum of its proper divisors (290952207).

312251121 is a wasteful number, since it uses less digits than its factorization.

312251121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 628 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 312251121 is about 17670.6287664022. The cubic root of 312251121 is about 678.4242065585.

The spelling of 312251121 in words is "three hundred twelve million, two hundred fifty-one thousand, one hundred twenty-one".