312000201 has 64 divisors (see below), whose sum is σ = 511660800. Its totient is φ = 187084800.

The previous prime is 312000193. The next prime is 312000223. The reversal of 312000201 is 102000213.

It is a happy number.

It is not a de Polignac number, because 312000201 - 2³ = 312000193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (312000251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1110181 + ... + 1110461.

It is an arithmetic number, because the mean of its divisors is an integer number (7994700).

Almost surely, 2^312000201 is an apocalyptic number.

It is an amenable number.

312000201 is a deficient number, since it is larger than the sum of its proper divisors (199660599).

312000201 is a wasteful number, since it uses less digits than its factorization.

312000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 312000201 is about 17663.5274223469. The cubic root of 312000201 is about 678.2424342510.

Adding to 312000201 its product of nonzero digits (12), we get a palindrome (312000213).

Adding to 312000201 its reverse (102000213), we get a palindrome (414000414).

The spelling of 312000201 in words is "three hundred twelve million, two hundred one", and thus it is an aban number.