201123312 has 80 divisors (see below), whose sum is σ = 564859680. Its totient is φ = 61295616.

The previous prime is 201123269. The next prime is 201123313. The reversal of 201123312 is 213321102.

It is a junction number, because it is equal to n+sod(n) for n = 201123291 and 201123300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201123313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66538 + ... + 69494.

It is an arithmetic number, because the mean of its divisors is an integer number (7060746).

Almost surely, 2^201123312 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 201123312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282429840).

201123312 is an abundant number, since it is smaller than the sum of its proper divisors (363736368).

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

201123312 is a wasteful number, since it uses less digits than its factorization.

201123312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 201123312 is about 14181.7950908903. The cubic root of 201123312 is about 585.8963656343.

Adding to 201123312 its reverse (213321102), we get a palindrome (414444414).

The spelling of 201123312 in words is "two hundred one million, one hundred twenty-three thousand, three hundred twelve".