11875784281242 has 128 divisors (see below), whose sum is σ = 27602405462016. Its totient is φ = 3336335972352.

The previous prime is 11875784281217. The next prime is 11875784281243. The reversal of 11875784281242 is 24218248757811.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11875784281243) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2168298208 + ... + 2168303684.

It is an arithmetic number, because the mean of its divisors is an integer number (215643792672).

Almost surely, 2^{11875784281242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11875784281242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13801202731008).

11875784281242 is an abundant number, since it is smaller than the sum of its proper divisors (15726621180774).

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

11875784281242 is a wasteful number, since it uses less digits than its factorization.

11875784281242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8940.

The product of its digits is 16056320, while the sum is 60.

The spelling of 11875784281242 in words is "eleven trillion, eight hundred seventy-five billion, seven hundred eighty-four million, two hundred eighty-one thousand, two hundred forty-two".