11120200032200 has 288 divisors, whose sum is σ = 30289215116160. Its totient is φ = 3785657702400.

The previous prime is 11120200032121. The next prime is 11120200032239. The reversal of 11120200032200 is 223000202111.

It is a happy number.

It is a super-3 number, since 3×11120200032200³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 801564464 + ... + 801578336.

It is an arithmetic number, because the mean of its divisors is an integer number (105170885820).

Almost surely, 2^{11120200032200} is an apocalyptic number.

11120200032200 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 11120200032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15144607558080).

11120200032200 is an abundant number, since it is smaller than the sum of its proper divisors (19169015083960).

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

11120200032200 is a wasteful number, since it uses less digits than its factorization.

11120200032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14477 (or 14461 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11120200032200 its reverse (223000202111), we get a palindrome (11343200234311).

The spelling of 11120200032200 in words is "eleven trillion, one hundred twenty billion, two hundred million, thirty-two thousand, two hundred".