11121184980072 has 96 divisors (see below), whose sum is σ = 30411712531200. Its totient is φ = 3671315601408.

The previous prime is 11121184980013. The next prime is 11121184980079. The reversal of 11121184980072 is 27008948112111.

11121184980072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11121184980079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1304379 + ... + 4893237.

It is an arithmetic number, because the mean of its divisors is an integer number (316788672200).

Almost surely, 2^{11121184980072} is an apocalyptic number.

11121184980072 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 11121184980072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15205856265600).

11121184980072 is an abundant number, since it is smaller than the sum of its proper divisors (19290527551128).

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

11121184980072 is a wasteful number, since it uses less digits than its factorization.

11121184980072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589287 (or 3589280 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The spelling of 11121184980072 in words is "eleven trillion, one hundred twenty-one billion, one hundred eighty-four million, nine hundred eighty thousand, seventy-two".