12177216 has 126 divisors (see below), whose sum is σ = 37494210. Its totient is φ = 3919104.

The previous prime is 12177211. The next prime is 12177223. The reversal of 12177216 is 61277121.

12177216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10497600 + 1679616 = 3240^2 + 1296^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 12177216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12177211) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419890 + ... + 419918.

Almost surely, 2^12177216 is an apocalyptic number.

12177216 is a gapful number since it is divisible by the number (16) 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 12177216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18747105).

12177216 is an abundant number, since it is smaller than the sum of its proper divisors (25316994).

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

12177216 is an frugal number, since it uses more digits than its factorization.

12177216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 34 counting only the distinct ones).

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

The square root of 12177216 is about 3489.5867950232. The cubic root of 12177216 is about 230.0643550224.

The spelling of 12177216 in words is "twelve million, one hundred seventy-seven thousand, two hundred sixteen".