12132720 has 160 divisors (see below), whose sum is σ = 43122240. Its totient is φ = 3133440.

The previous prime is 12132719. The next prime is 12132727. The reversal of 12132720 is 2723121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12132693 and 12132702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88492 + ... + 88628.

It is an arithmetic number, because the mean of its divisors is an integer number (269514).

Almost surely, 2^12132720 is an apocalyptic number.

12132720 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 12132720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21561120).

12132720 is an abundant number, since it is smaller than the sum of its proper divisors (30989520).

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

12132720 is a wasteful number, since it uses less digits than its factorization.

12132720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12132720 is about 3483.2054202990. The cubic root of 12132720 is about 229.7837917793.

Adding to 12132720 its reverse (2723121), we get a palindrome (14855841).

The spelling of 12132720 in words is "twelve million, one hundred thirty-two thousand, seven hundred twenty".