312120291 has 8 divisors (see below), whose sum is σ = 475611904. Its totient is φ = 178354440.

The previous prime is 312120269. The next prime is 312120293. The reversal of 312120291 is 192021213.

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

It is not a de Polignac number, because 312120291 - 2¹⁴ = 312103907 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 14862871 = 312120291 / (3 + 1 + 2 + 1 + 2 + 0 + 2 + 9 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312120293) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7431415 + ... + 7431456.

It is an arithmetic number, because the mean of its divisors is an integer number (59451488).

Almost surely, 2^312120291 is an apocalyptic number.

312120291 is a deficient number, since it is larger than the sum of its proper divisors (163491613).

312120291 is a wasteful number, since it uses less digits than its factorization.

312120291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14862881.

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 312120291 is about 17666.9264729324. The cubic root of 312120291 is about 678.3294424065.

The spelling of 312120291 in words is "three hundred twelve million, one hundred twenty thousand, two hundred ninety-one".