12772116 has 36 divisors (see below), whose sum is σ = 36897952. Its totient is φ = 3649104.

The previous prime is 12772091. The next prime is 12772139. The reversal of 12772116 is 61127721.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 12772116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25090 + ... + 25593.

Almost surely, 2^12772116 is an apocalyptic number.

It is an amenable number.

12772116 is an abundant number, since it is smaller than the sum of its proper divisors (24125836).

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

12772116 is a wasteful number, since it uses less digits than its factorization.

12772116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50700 (or 50695 counting only the distinct ones).

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

The square root of 12772116 is about 3573.8097319247. The cubic root of 12772116 is about 233.7514344999.

Adding to 12772116 its reverse (61127721), we get a palindrome (73899837).

The spelling of 12772116 in words is "twelve million, seven hundred seventy-two thousand, one hundred sixteen".