12111616 has 108 divisors (see below), whose sum is σ = 29360016. Its totient is φ = 4956160.

The previous prime is 12111601. The next prime is 12111707. The reversal of 12111616 is 61611121.

It is a junction number, because it is equal to n+sod(n) for n = 12111593 and 12111602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 526581 + ... + 526603.

It is an arithmetic number, because the mean of its divisors is an integer number (271852).

Almost surely, 2^12111616 is an apocalyptic number.

12111616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12111616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14680008).

12111616 is an abundant number, since it is smaller than the sum of its proper divisors (17248400).

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

12111616 is a wasteful number, since it uses less digits than its factorization.

12111616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 53 counting only the distinct ones).

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

The square root of 12111616 is about 3480.1747082582. The cubic root of 12111616 is about 229.6504836240.

Adding to 12111616 its reverse (61611121), we get a palindrome (73722737).

It can be divided in two parts, 12 and 111616, that added together give a triangular number (111628 = T₄₇₂).

The spelling of 12111616 in words is "twelve million, one hundred eleven thousand, six hundred sixteen".