312120201 has 16 divisors (see below), whose sum is σ = 440498240. Its totient is φ = 196032960.

The previous prime is 312120173. The next prime is 312120203. The reversal of 312120201 is 102021213.

It is not a de Polignac number, because 312120201 - 2⁵ = 312120169 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (312120203) 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 15 ways as a sum of consecutive naturals, for example, 4810 + ... + 25443.

It is an arithmetic number, because the mean of its divisors is an integer number (27531140).

Almost surely, 2^312120201 is an apocalyptic number.

It is an amenable number.

312120201 is a deficient number, since it is larger than the sum of its proper divisors (128378039).

312120201 is a wasteful number, since it uses less digits than its factorization.

312120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30456.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 312120201 is about 17666.9239257999. The cubic root of 312120201 is about 678.3293772076.

Adding to 312120201 its reverse (102021213), we get a palindrome (414141414).

The spelling of 312120201 in words is "three hundred twelve million, one hundred twenty thousand, two hundred one".