12775120 has 80 divisors (see below), whose sum is σ = 31819392. Its totient is φ = 4759040.

The previous prime is 12775099. The next prime is 12775123. The reversal of 12775120 is 2157721.

It is a happy number.

12775120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12775123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97455 + ... + 97585.

Almost surely, 2^12775120 is an apocalyptic number.

12775120 is a gapful number since it is divisible by the number (10) 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 12775120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15909696).

12775120 is an abundant number, since it is smaller than the sum of its proper divisors (19044272).

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

12775120 is a wasteful number, since it uses less digits than its factorization.

12775120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 25.

The square root of 12775120 is about 3574.2299870042. The cubic root of 12775120 is about 233.7697591655.

The spelling of 12775120 in words is "twelve million, seven hundred seventy-five thousand, one hundred twenty".