12124160 has 68 divisors (see below), whose sum is σ = 29884188. Its totient is φ = 4718592.

The previous prime is 12124157. The next prime is 12124163. The reversal of 12124160 is 6142121.

It is an interprime number because it is at equal distance from previous prime (12124157) and next prime (12124163).

It can be written as a sum of positive squares in 2 ways, for example, as 7929856 + 4194304 = 2816^2 + 2048^2 .

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (12124163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327662 + ... + 327698.

Almost surely, 2^12124160 is an apocalyptic number.

12124160 is a gapful number since it is divisible by the number (10) 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 12124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14942094).

12124160 is an abundant number, since it is smaller than the sum of its proper divisors (17760028).

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

12124160 is an frugal number, since it uses more digits than its factorization.

12124160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 12124160 is about 3481.9764502363. The cubic root of 12124160 is about 229.7297392662.

Adding to 12124160 its reverse (6142121), we get a palindrome (18266281).

The spelling of 12124160 in words is "twelve million, one hundred twenty-four thousand, one hundred sixty".