11442123304032 has 192 divisors, whose sum is σ = 30683266580736. Its totient is φ = 3732190525440.

The previous prime is 11442123303997. The next prime is 11442123304069. The reversal of 11442123304032 is 23040332124411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4264673763 + ... + 4264676445.

It is an arithmetic number, because the mean of its divisors is an integer number (159808680108).

Almost surely, 2^{11442123304032} is an apocalyptic number.

11442123304032 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 11442123304032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15341633290368).

11442123304032 is an abundant number, since it is smaller than the sum of its proper divisors (19241143276704).

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

11442123304032 is a wasteful number, since it uses less digits than its factorization.

11442123304032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4645 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 11442123304032 its reverse (23040332124411), we get a palindrome (34482455428443).

The spelling of 11442123304032 in words is "eleven trillion, four hundred forty-two billion, one hundred twenty-three million, three hundred four thousand, thirty-two".