12132105 has 16 divisors (see below), whose sum is σ = 19885824. Its totient is φ = 6312320.

The previous prime is 12132103. The next prime is 12132151. The reversal of 12132105 is 50123121.

12132105 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12132105 - 2¹ = 12132103 is a prime.

It is a super-3 number, since 3×12132105³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12132103) 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, 9249 + ... + 10478.

It is an arithmetic number, because the mean of its divisors is an integer number (1242864).

Almost surely, 2^12132105 is an apocalyptic number.

12132105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12132105 is a deficient number, since it is larger than the sum of its proper divisors (7753719).

12132105 is a wasteful number, since it uses less digits than its factorization.

12132105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19776.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 12132105 is about 3483.1171384264. The cubic root of 12132105 is about 229.7799091814.

Adding to 12132105 its reverse (50123121), we get a palindrome (62255226).

The spelling of 12132105 in words is "twelve million, one hundred thirty-two thousand, one hundred five".