12106016 has 24 divisors (see below), whose sum is σ = 25667964. Its totient is φ = 5587200.

The previous prime is 12106013. The next prime is 12106019. The reversal of 12106016 is 61060121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12106013) and next prime (12106019).

It can be written as a sum of positive squares in 2 ways, for example, as 8880400 + 3225616 = 2980^2 + 1796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12105985 and 12106003.

It is not an unprimeable number, because it can be changed into a prime (12106013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14135 + ... + 14966.

Almost surely, 2^12106016 is an apocalyptic number.

12106016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12106016 is an abundant number, since it is smaller than the sum of its proper divisors (13561948).

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

12106016 is a wasteful number, since it uses less digits than its factorization.

12106016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29124 (or 29116 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 12106016 is about 3479.3700579272. The cubic root of 12106016 is about 229.6150839722.

Adding to 12106016 its reverse (61060121), we get a palindrome (73166137).

The spelling of 12106016 in words is "twelve million, one hundred six thousand, sixteen".