12310272 has 144 divisors (see below), whose sum is σ = 39490080. Its totient is φ = 3760128.

The previous prime is 12310253. The next prime is 12310279. The reversal of 12310272 is 27201321.

12310272 is digitally balanced in base 2, because in such base 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).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12310279) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89788 + ... + 89924.

Almost surely, 2^12310272 is an apocalyptic number.

12310272 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 12310272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19745040).

12310272 is an abundant number, since it is smaller than the sum of its proper divisors (27179808).

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

12310272 is a wasteful number, since it uses less digits than its factorization.

12310272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

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

The square root of 12310272 is about 3508.5997206863. The cubic root of 12310272 is about 230.8992645610.

Adding to 12310272 its reverse (27201321), we get a palindrome (39511593).

The spelling of 12310272 in words is "twelve million, three hundred ten thousand, two hundred seventy-two".