201201312 has 96 divisors (see below), whose sum is σ = 571874688. Its totient is φ = 61572096.

The previous prime is 201201289. The next prime is 201201331. The reversal of 201201312 is 213102102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327918 + ... + 328530.

It is an arithmetic number, because the mean of its divisors is an integer number (5957028).

Almost surely, 2^201201312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285937344).

201201312 is an abundant number, since it is smaller than the sum of its proper divisors (370673376).

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

201201312 is a wasteful number, since it uses less digits than its factorization.

201201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 201201312 is about 14184.5448287917. The cubic root of 201201312 is about 585.9720969680.

Adding to 201201312 its reverse (213102102), we get a palindrome (414303414).

The spelling of 201201312 in words is "two hundred one million, two hundred one thousand, three hundred twelve".