4122144 has 96 divisors (see below), whose sum is σ = 12983040. Its totient is φ = 1264896.

The previous prime is 4122121. The next prime is 4122169. The reversal of 4122144 is 4412214.

4122144 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 (96).

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 an unprimeable number.

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, 11049 + ... + 11415.

It is an arithmetic number, because the mean of its divisors is an integer number (135240).

Almost surely, 2^4122144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6491520).

4122144 is an abundant number, since it is smaller than the sum of its proper divisors (8860896).

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

4122144 is a wasteful number, since it uses less digits than its factorization.

4122144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 385 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 4122144 is about 2030.3063808204. The cubic root of 4122144 is about 160.3396949521.

Adding to 4122144 its reverse (4412214), we get a palindrome (8534358).

It can be divided in two parts, 412 and 2144, that added together give a triangular number (2556 = T₇₁).

The spelling of 4122144 in words is "four million, one hundred twenty-two thousand, one hundred forty-four".