20442132103512 has 128 divisors (see below), whose sum is σ = 58565925273600. Its totient is φ = 5824629675648.

The previous prime is 20442132103507. The next prime is 20442132103607. The reversal of 20442132103512 is 21530123124402.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20442132103512.

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, 710793789 + ... + 710822547.

It is an arithmetic number, because the mean of its divisors is an integer number (457546291200).

Almost surely, 2^{20442132103512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20442132103512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29282962636800).

20442132103512 is an abundant number, since it is smaller than the sum of its proper divisors (38123793170088).

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

20442132103512 is a wasteful number, since it uses less digits than its factorization.

20442132103512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40205 (or 40201 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 20442132103512 its reverse (21530123124402), we get a palindrome (41972255227914).

The spelling of 20442132103512 in words is "twenty trillion, four hundred forty-two billion, one hundred thirty-two million, one hundred three thousand, five hundred twelve".