12251456 has 112 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 4730880.

The previous prime is 12251453. The next prime is 12251467. The reversal of 12251456 is 65415221.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12251453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298796 + ... + 298836.

It is an arithmetic number, because the mean of its divisors is an integer number (274320).

Almost surely, 2^12251456 is an apocalyptic number.

12251456 is a gapful number since it is divisible by the number (16) 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 12251456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

12251456 is an abundant number, since it is smaller than the sum of its proper divisors (18472384).

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

12251456 is a wasteful number, since it uses less digits than its factorization.

12251456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 12251456 is about 3500.2079938198. The cubic root of 12251456 is about 230.5309472959.

Adding to 12251456 its reverse (65415221), we get a palindrome (77666677).

The spelling of 12251456 in words is "twelve million, two hundred fifty-one thousand, four hundred fifty-six".