12132132 has 48 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 3824128.

The previous prime is 12132103. The next prime is 12132151. The reversal of 12132132 is 23123121.

12132132 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 a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30994 + ... + 31382.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 2^12132132 is an apocalyptic number.

12132132 is a gapful number since it is divisible by the number (12) 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 12132132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

12132132 is an abundant number, since it is smaller than the sum of its proper divisors (17744988).

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

12132132 is a wasteful number, since it uses less digits than its factorization.

12132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 530 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 12132132 is about 3483.1210142629. The cubic root of 12132132 is about 229.7800796396.

Adding to 12132132 its reverse (23123121), we get a palindrome (35255253).

The spelling of 12132132 in words is "twelve million, one hundred thirty-two thousand, one hundred thirty-two".