312041201 has 16 divisors (see below), whose sum is σ = 326824848. Its totient is φ = 297676800.

The previous prime is 312041179. The next prime is 312041221. The reversal of 312041201 is 102140213.

It can be written as a sum of positive squares in 8 ways, for example, as 91221601 + 220819600 = 9551^2 + 14860^2 .

It is a cyclic number.

It is not a de Polignac number, because 312041201 - 2¹⁰ = 312040177 is a prime.

It is a super-2 number, since 2×312041201² = 194739422243044802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312041221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 409661 + ... + 410421.

It is an arithmetic number, because the mean of its divisors is an integer number (20426553).

Almost surely, 2^312041201 is an apocalyptic number.

It is an amenable number.

312041201 is a deficient number, since it is larger than the sum of its proper divisors (14783647).

312041201 is a wasteful number, since it uses less digits than its factorization.

312041201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012.

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 312041201 is about 17664.6879678074. The cubic root of 312041201 is about 678.2721422680.

Adding to 312041201 its reverse (102140213), we get a palindrome (414181414).

The spelling of 312041201 in words is "three hundred twelve million, forty-one thousand, two hundred one".