12105120 has 48 divisors (see below), whose sum is σ = 38132640. Its totient is φ = 3227904.

The previous prime is 12105113. The next prime is 12105131. The reversal of 12105120 is 2150121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12105096 and 12105105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12130 + ... + 13089.

It is an arithmetic number, because the mean of its divisors is an integer number (794430).

Almost surely, 2^12105120 is an apocalyptic number.

12105120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12105120 is an abundant number, since it is smaller than the sum of its proper divisors (26027520).

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

12105120 is a wasteful number, since it uses less digits than its factorization.

12105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25237 (or 25229 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 12105120 is about 3479.2412966048. The cubic root of 12105120 is about 229.6094190149.

Adding to 12105120 its reverse (2150121), we get a palindrome (14255241).

The spelling of 12105120 in words is "twelve million, one hundred five thousand, one hundred twenty".