11981775806112 has 384 divisors, whose sum is σ = 38238867555840. Its totient is φ = 3206855393280.

The previous prime is 11981775806089. The next prime is 11981775806113. The reversal of 11981775806112 is 21160857718911.

It is not an unprimeable number, because it can be changed into a prime (11981775806113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3945265458 + ... + 3945268494.

It is an arithmetic number, because the mean of its divisors is an integer number (99580384260).

Almost surely, 2^{11981775806112} is an apocalyptic number.

11981775806112 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 11981775806112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19119433777920).

11981775806112 is an abundant number, since it is smaller than the sum of its proper divisors (26257091749728).

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

11981775806112 is a wasteful number, since it uses less digits than its factorization.

11981775806112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584 (or 4576 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 57.

The spelling of 11981775806112 in words is "eleven trillion, nine hundred eighty-one billion, seven hundred seventy-five million, eight hundred six thousand, one hundred twelve".