12450144 has 96 divisors (see below), whose sum is σ = 37933056. Its totient is φ = 3502080.

The previous prime is 12450133. The next prime is 12450173. The reversal of 12450144 is 44105421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12450144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65089 + ... + 65279.

It is an arithmetic number, because the mean of its divisors is an integer number (395136).

Almost surely, 2^12450144 is an apocalyptic number.

12450144 is a gapful number since it is divisible by the number (14) 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 12450144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18966528).

12450144 is an abundant number, since it is smaller than the sum of its proper divisors (25482912).

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

12450144 is a wasteful number, since it uses less digits than its factorization.

12450144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 12450144 is about 3528.4761583437. The cubic root of 12450144 is about 231.7704824861.

Adding to 12450144 its reverse (44105421), we get a palindrome (56555565).

The spelling of 12450144 in words is "twelve million, four hundred fifty thousand, one hundred forty-four".