1142144112 has 80 divisors (see below), whose sum is σ = 3111408000. Its totient is φ = 360029952.

The previous prime is 1142144111. The next prime is 1142144119. The reversal of 1142144112 is 2114412411.

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 (1142144111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 928714 + ... + 929942.

It is an arithmetic number, because the mean of its divisors is an integer number (38892600).

Almost surely, 2^1142144112 is an apocalyptic number.

1142144112 is a gapful number since it is divisible by the number (12) 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 1142144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555704000).

1142144112 is an abundant number, since it is smaller than the sum of its proper divisors (1969263888).

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

1142144112 is a wasteful number, since it uses less digits than its factorization.

1142144112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2272 counting only the distinct ones).

The product of its digits is 256, while the sum is 21.

The square root of 1142144112 is about 33795.6226751335. The cubic root of 1142144112 is about 1045.2984387575.

Adding to 1142144112 its reverse (2114412411), we get a palindrome (3256556523).

The spelling of 1142144112 in words is "one billion, one hundred forty-two million, one hundred forty-four thousand, one hundred twelve".