11120330880 has 192 divisors, whose sum is σ = 38548013400. Its totient is φ = 2953986048.

The previous prime is 11120330869. The next prime is 11120330891. The reversal of 11120330880 is 8803302111.

It is an interprime number because it is at equal distance from previous prime (11120330869) and next prime (11120330891).

It can be written as a sum of positive squares in 4 ways, for example, as 8891735616 + 2228595264 = 94296^2 + 47208^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1545852 + ... + 1553028.

Almost surely, 2^11120330880 is an apocalyptic number.

11120330880 is a gapful number since it is divisible by the number (10) 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 11120330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19274006700).

11120330880 is an abundant number, since it is smaller than the sum of its proper divisors (27427682520).

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

11120330880 is a wasteful number, since it uses less digits than its factorization.

11120330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7471 (or 7456 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11120330880 its reverse (8803302111), we get a palindrome (19923632991).

The spelling of 11120330880 in words is "eleven billion, one hundred twenty million, three hundred thirty thousand, eight hundred eighty".