201201321312 has 72 divisors (see below), whose sum is σ = 575362864440. Its totient is φ = 66692413440.

The previous prime is 201201321311. The next prime is 201201321353. The reversal of 201201321312 is 213123102102.

201201321312 is a `hidden beast` number, since 20 + 12 + 0 + 1 + 321 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201201321311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1899889 + ... + 2002992.

It is an arithmetic number, because the mean of its divisors is an integer number (7991150895).

Almost surely, 2^201201321312 is an apocalyptic number.

It is an amenable number.

201201321312 is an abundant number, since it is smaller than the sum of its proper divisors (374161543128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201201321312 is a wasteful number, since it uses less digits than its factorization.

201201321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903076 (or 3903065 counting only the distinct ones).

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

Adding to 201201321312 its reverse (213123102102), we get a palindrome (414324423414).

The spelling of 201201321312 in words is "two hundred one billion, two hundred one million, three hundred twenty-one thousand, three hundred twelve".