12275120 has 160 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 3870720.

The previous prime is 12275111. The next prime is 12275129. The reversal of 12275120 is 2157221.

It is an interprime number because it is at equal distance from previous prime (12275111) and next prime (12275129).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12275092 and 12275101.

It is not an unprimeable number, because it can be changed into a prime (12275129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331742 + ... + 331778.

It is an arithmetic number, because the mean of its divisors is an integer number (222642).

Almost surely, 2^12275120 is an apocalyptic number.

12275120 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 12275120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

12275120 is an abundant number, since it is smaller than the sum of its proper divisors (23347600).

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

12275120 is a wasteful number, since it uses less digits than its factorization.

12275120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 12275120 is about 3503.5867336203. The cubic root of 12275120 is about 230.6792773055.

The spelling of 12275120 in words is "twelve million, two hundred seventy-five thousand, one hundred twenty".