12142144 has 28 divisors (see below), whose sum is σ = 27537664. Its totient is φ = 5203584.

The previous prime is 12142139. The next prime is 12142147. The reversal of 12142144 is 44124121.

12142144 = T₃₇₀ + T₃₇₁ + ... + T₄₉₇.

It is a tau number, because it is divible by the number of its divisors (28).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12142147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13104 + ... + 13999.

It is an arithmetic number, because the mean of its divisors is an integer number (983488).

Almost surely, 2^12142144 is an apocalyptic number.

12142144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12142144 is an abundant number, since it is smaller than the sum of its proper divisors (15395520).

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

12142144 is an equidigital number, since it uses as much as digits as its factorization.

12142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27122 (or 27112 counting only the distinct ones).

The product of its digits is 256, while the sum is 19.

The square root of 12142144 is about 3484.5579346597. The cubic root of 12142144 is about 229.8432706656.

Adding to 12142144 its reverse (44124121), we get a palindrome (56266265).

The spelling of 12142144 in words is "twelve million, one hundred forty-two thousand, one hundred forty-four".