1124332142004 has 72 divisors (see below), whose sum is σ = 2846672829000. Its totient is φ = 374169729024.

The previous prime is 1124332141981. The next prime is 1124332142023. The reversal of 1124332142004 is 4002412334211.

1124332142004 is a `hidden beast` number, since 1 + 1 + 2 + 433 + 21 + 4 + 200 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23620616100 + 1100711525904 = 153690^2 + 1049148^2 .

It is a super-2 number, since 2×1124332142004² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88600492 + ... + 88613180.

It is an arithmetic number, because the mean of its divisors is an integer number (39537122625).

Almost surely, 2^{1124332142004} is an apocalyptic number.

It is an amenable number.

1124332142004 is an abundant number, since it is smaller than the sum of its proper divisors (1722340686996).

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

1124332142004 is a wasteful number, since it uses less digits than its factorization.

1124332142004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16497 (or 16492 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1124332142004 its reverse (4002412334211), we get a palindrome (5126744476215).

The spelling of 1124332142004 in words is "one trillion, one hundred twenty-four billion, three hundred thirty-two million, one hundred forty-two thousand, four".