12167172 has 90 divisors (see below), whose sum is σ = 34410222. Its totient is φ = 3735936.

The previous prime is 12167171. The next prime is 12167179. The reversal of 12167172 is 27176121.

It can be written as a sum of positive squares in only one way, i.e., 11451456 + 715716 = 3384^2 + 846^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12167171) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 258853 + ... + 258899.

Almost surely, 2^12167172 is an apocalyptic number.

12167172 is a gapful number since it is divisible by the number (12) 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 12167172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17205111).

12167172 is an abundant number, since it is smaller than the sum of its proper divisors (22243050).

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

12167172 is a wasteful number, since it uses less digits than its factorization.

12167172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 69 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 12167172 is about 3488.1473592725. The cubic root of 12167172 is about 230.0010838008.

The spelling of 12167172 in words is "twelve million, one hundred sixty-seven thousand, one hundred seventy-two".