13122144 has 144 divisors (see below), whose sum is σ = 44658432. Its totient is φ = 3573504.

The previous prime is 13122133. The next prime is 13122157. The reversal of 13122144 is 44122131.

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 nude number because it is divisible by every one of its digits.

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, 46227 + ... + 46509.

It is an arithmetic number, because the mean of its divisors is an integer number (310128).

Almost surely, 2^13122144 is an apocalyptic number.

13122144 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 13122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22329216).

13122144 is an abundant number, since it is smaller than the sum of its proper divisors (31536288).

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

13122144 is a wasteful number, since it uses less digits than its factorization.

13122144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 318 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 13122144 is about 3622.4499996549. The cubic root of 13122144 is about 235.8675882712.

Adding to 13122144 its reverse (44122131), we get a palindrome (57244275).

It can be divided in two parts, 13122 and 144, that multiplied together give a 5-th power (1889568 = 18⁵).

The spelling of 13122144 in words is "thirteen million, one hundred twenty-two thousand, one hundred forty-four".