12130272 has 144 divisors (see below), whose sum is σ = 43085952. Its totient is φ = 3144960.

The previous prime is 12130259. The next prime is 12130289. The reversal of 12130272 is 27203121.

12130272 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 tau number, because it is divible by the number of its divisors (144).

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

12130272 is strictly pandigital in base 8.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21903 + ... + 22449.

It is an arithmetic number, because the mean of its divisors is an integer number (299208).

Almost surely, 2^12130272 is an apocalyptic number.

12130272 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 12130272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21542976).

12130272 is an abundant number, since it is smaller than the sum of its proper divisors (30955680).

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

12130272 is a wasteful number, since it uses less digits than its factorization.

12130272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 570 counting only the distinct ones).

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

The square root of 12130272 is about 3482.8540021080. The cubic root of 12130272 is about 229.7683363673.

Adding to 12130272 its reverse (27203121), we get a palindrome (39333393).

The spelling of 12130272 in words is "twelve million, one hundred thirty thousand, two hundred seventy-two".