12031272 has 72 divisors (see below), whose sum is σ = 35842170. Its totient is φ = 3643200.

The previous prime is 12031267. The next prime is 12031273. The reversal of 12031272 is 27213021.

12031272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10458756 + 1572516 = 3234^2 + 1254^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (12031273) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8022 + ... + 9402.

Almost surely, 2^12031272 is an apocalyptic number.

12031272 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 12031272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17921085).

12031272 is an abundant number, since it is smaller than the sum of its proper divisors (23810898).

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

12031272 is a wasteful number, since it uses less digits than its factorization.

12031272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1397 counting only the distinct ones).

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

The square root of 12031272 is about 3468.6124026763. The cubic root of 12031272 is about 229.1415510253.

Adding to 12031272 its reverse (27213021), we get a palindrome (39244293).

The spelling of 12031272 in words is "twelve million, thirty-one thousand, two hundred seventy-two".