12132120 has 256 divisors, whose sum is σ = 49351680. Its totient is φ = 2304000.

The previous prime is 12132103. The next prime is 12132151. The reversal of 12132120 is 2123121.

12132120 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

12132120 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 12132096 and 12132105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120070 + ... + 120170.

It is an arithmetic number, because the mean of its divisors is an integer number (192780).

Almost surely, 2^12132120 is an apocalyptic number.

12132120 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 12132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675840).

12132120 is an abundant number, since it is smaller than the sum of its proper divisors (37219560).

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

12132120 is a wasteful number, since it uses less digits than its factorization.

12132120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12132120 is about 3483.1192916695. The cubic root of 12132120 is about 229.7800038804.

12132120 divided by its product of nonzero digits (24) gives a palindrome (505505).

Adding to 12132120 its reverse (2123121), we get a palindrome (14255241).

It can be divided in two parts, 1213 and 2120, that added together give a palindrome (3333).

The spelling of 12132120 in words is "twelve million, one hundred thirty-two thousand, one hundred twenty".