312121201 has 24 divisors (see below), whose sum is σ = 379147392. Its totient is φ = 251222400.

The previous prime is 312121129. The next prime is 312121217. The reversal of 312121201 is 102121213.

It is a de Polignac number, because none of the positive numbers 2^k-312121201 is a prime.

It is a super-2 number, since 2×312121201² = 194839288227364802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312121291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598821 + ... + 599341.

It is an arithmetic number, because the mean of its divisors is an integer number (15797808).

Almost surely, 2^312121201 is an apocalyptic number.

It is an amenable number.

312121201 is a deficient number, since it is larger than the sum of its proper divisors (67026191).

312121201 is an equidigital number, since it uses as much as digits as its factorization.

312121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 312121201 is about 17666.9522272519. The cubic root of 312121201 is about 678.3301016386.

Adding to 312121201 its reverse (102121213), we get a palindrome (414242414).

The spelling of 312121201 in words is "three hundred twelve million, one hundred twenty-one thousand, two hundred one".