11982120088905 has 80 divisors (see below), whose sum is σ = 22821231494160. Its totient is φ = 6014553398784.

The previous prime is 11982120088879. The next prime is 11982120088907. The reversal of 11982120088905 is 50988002128911.

11982120088905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 434159752464 + 11547960336441 = 658908^2 + 3398229^2 .

It is not a de Polignac number, because 11982120088905 - 2⁷ = 11982120088777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11982120088907) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1021174 + ... + 5000703.

It is an arithmetic number, because the mean of its divisors is an integer number (285265393677).

Almost surely, 2^{11982120088905} is an apocalyptic number.

11982120088905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11982120088905 is a deficient number, since it is larger than the sum of its proper divisors (10839111405255).

11982120088905 is an frugal number, since it uses more digits than its factorization.

11982120088905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6021945 (or 6021902 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 54.

The spelling of 11982120088905 in words is "eleven trillion, nine hundred eighty-two billion, one hundred twenty million, eighty-eight thousand, nine hundred five".