12166434216 has 24 divisors (see below), whose sum is σ = 32950759530. Its totient is φ = 4055478048.

The previous prime is 12166434211. The next prime is 12166434221. The reversal of 12166434216 is 61243466121.

12166434216 is a `hidden beast` number, since 1 + 2 + 1 + 6 + 6 + 434 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (12166434211) and next prime (12166434221).

It can be written as a sum of positive squares in only one way, i.e., 10029221316 + 2137212900 = 100146^2 + 46230^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (12166434211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84489055 + ... + 84489198.

Almost surely, 2^12166434216 is an apocalyptic number.

It is an amenable number.

12166434216 is an abundant number, since it is smaller than the sum of its proper divisors (20784325314).

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

12166434216 is a wasteful number, since it uses less digits than its factorization.

12166434216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168978265 (or 168978258 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 12166434216 in words is "twelve billion, one hundred sixty-six million, four hundred thirty-four thousand, two hundred sixteen".