312032110111201 has 24 divisors (see below), whose sum is σ = 333546980322600. Its totient is φ = 291548139724800.

The previous prime is 312032110111171. The next prime is 312032110111213. The reversal of 312032110111201 is 102111011230213.

It can be written as a sum of positive squares in 4 ways, for example, as 19508555088801 + 292523555022400 = 4416849^2 + 17103320^2 .

It is not a de Polignac number, because 312032110111201 - 2¹³ = 312032110103009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312032110121201) 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, 2161698291 + ... + 2161842631.

It is an arithmetic number, because the mean of its divisors is an integer number (13897790846775).

Almost surely, 2^{312032110111201} is an apocalyptic number.

312032110111201 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312032110111201 is a deficient number, since it is larger than the sum of its proper divisors (21514870211399).

312032110111201 is a wasteful number, since it uses less digits than its factorization.

312032110111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222001 (or 221970 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 312032110111201 its reverse (102111011230213), we get a palindrome (414143121341414).

The spelling of 312032110111201 in words is "three hundred twelve trillion, thirty-two billion, one hundred ten million, one hundred eleven thousand, two hundred one".