11142124 has 24 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 4729296.

The previous prime is 11142107. The next prime is 11142181. The reversal of 11142124 is 42124111.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11142098 and 11142107.

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 7 ways as a sum of consecutive naturals, for example, 1137 + ... + 4855.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^11142124 is an apocalyptic number.

11142124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11142124 is an abundant number, since it is smaller than the sum of its proper divisors (11356436).

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

11142124 is a wasteful number, since it uses less digits than its factorization.

11142124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3837 (or 3835 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 11142124 is about 3337.9820251164. The cubic root of 11142124 is about 223.3517343320.

Adding to 11142124 its reverse (42124111), we get a palindrome (53266235).

It can be divided in two parts, 111 and 42124, that multiplied together give a palindrome (4675764).

The spelling of 11142124 in words is "eleven million, one hundred forty-two thousand, one hundred twenty-four".