11121020988 has 144 divisors (see below), whose sum is σ = 33301497600. Its totient is φ = 2855973120.

The previous prime is 11121020987. The next prime is 11121021061. The reversal of 11121020988 is 88902012111.

11121020988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11121020988² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121020983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565993 + ... + 585311.

It is an arithmetic number, because the mean of its divisors is an integer number (231260400).

Almost surely, 2^11121020988 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 11121020988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16650748800).

11121020988 is an abundant number, since it is smaller than the sum of its proper divisors (22180476612).

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

11121020988 is a wasteful number, since it uses less digits than its factorization.

11121020988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19440 (or 19431 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 33.

The spelling of 11121020988 in words is "eleven billion, one hundred twenty-one million, twenty thousand, nine hundred eighty-eight".