312112230201 has 48 divisors (see below), whose sum is σ = 482729249808. Its totient is φ = 193632768000.

The previous prime is 312112230173. The next prime is 312112230247. The reversal of 312112230201 is 102032211213.

312112230201 is a `hidden beast` number, since 31 + 211 + 223 + 0 + 201 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3887397801 + 308224832400 = 62349^2 + 555180^2 .

It is not a de Polignac number, because 312112230201 - 2¹⁸ = 312111968057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312112230251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11684581 + ... + 11711261.

It is an arithmetic number, because the mean of its divisors is an integer number (10056859371).

Almost surely, 2^312112230201 is an apocalyptic number.

It is an amenable number.

312112230201 is a deficient number, since it is larger than the sum of its proper divisors (170617019607).

312112230201 is a wasteful number, since it uses less digits than its factorization.

312112230201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27562 (or 27559 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 312112230201 its reverse (102032211213), we get a palindrome (414144441414).

The spelling of 312112230201 in words is "three hundred twelve billion, one hundred twelve million, two hundred thirty thousand, two hundred one".