201112416 has 96 divisors (see below), whose sum is σ = 617500800. Its totient is φ = 63504000.

The previous prime is 201112411. The next prime is 201112441. The reversal of 201112416 is 614211102.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201112411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10291 + ... + 22541.

It is an arithmetic number, because the mean of its divisors is an integer number (6432300).

Almost surely, 2^201112416 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 201112416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308750400).

201112416 is an abundant number, since it is smaller than the sum of its proper divisors (416388384).

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

201112416 is a wasteful number, since it uses less digits than its factorization.

201112416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12289 (or 12275 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 201112416 is about 14181.4109312156. The cubic root of 201112416 is about 585.8857849910.

Adding to 201112416 its reverse (614211102), we get a palindrome (815323518).

The spelling of 201112416 in words is "two hundred one million, one hundred twelve thousand, four hundred sixteen".