312120191 has 8 divisors (see below), whose sum is σ = 314845440. Its totient is φ = 309402072.

The previous prime is 312120173. The next prime is 312120203. The reversal of 312120191 is 191021213.

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 312120191 - 2¹⁴ = 312103807 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312120131) 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 7 ways as a sum of consecutive naturals, for example, 121466 + ... + 124008.

It is an arithmetic number, because the mean of its divisors is an integer number (39355680).

Almost surely, 2^312120191 is an apocalyptic number.

312120191 is a deficient number, since it is larger than the sum of its proper divisors (2725249).

312120191 is a wasteful number, since it uses less digits than its factorization.

312120191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565.

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 312120191 is about 17666.9236427851. The cubic root of 312120191 is about 678.3293699633.

The spelling of 312120191 in words is "three hundred twelve million, one hundred twenty thousand, one hundred ninety-one".