11000200001120 has 192 divisors, whose sum is σ = 28571842152000. Its totient is φ = 3968917954560.

The previous prime is 11000200001081. The next prime is 11000200001129. The reversal of 11000200001120 is 2110000200011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 11000200001098 and 11000200001107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000200001129) 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 31 ways as a sum of consecutive naturals, for example, 195882806 + ... + 195938954.

It is an arithmetic number, because the mean of its divisors is an integer number (148811677875).

Almost surely, 2^{11000200001120} is an apocalyptic number.

11000200001120 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 11000200001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14285921076000).

11000200001120 is an abundant number, since it is smaller than the sum of its proper divisors (17571642150880).

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

11000200001120 is a wasteful number, since it uses less digits than its factorization.

11000200001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57041 (or 57033 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11000200001120 its reverse (2110000200011), we get a palindrome (13110200201131).

The spelling of 11000200001120 in words is "eleven trillion, two hundred million, one thousand, one hundred twenty".