12124116 has 36 divisors (see below), whose sum is σ = 31155124. Its totient is φ = 3974400.

The previous prime is 12124097. The next prime is 12124129. The reversal of 12124116 is 61142121.

It can be written as a sum of positive squares in 2 ways, for example, as 1587600 + 10536516 = 1260^2 + 3246^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

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, 565 + ... + 4956.

Almost surely, 2^12124116 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 12124116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15577562).

12124116 is an abundant number, since it is smaller than the sum of its proper divisors (19031008).

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

12124116 is a wasteful number, since it uses less digits than its factorization.

12124116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5592 (or 5587 counting only the distinct ones).

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

The square root of 12124116 is about 3481.9701319799. The cubic root of 12124116 is about 229.7294613605.

Adding to 12124116 its reverse (61142121), we get a palindrome (73266237).

The spelling of 12124116 in words is "twelve million, one hundred twenty-four thousand, one hundred sixteen".