11000112200000 has 672 divisors, whose sum is σ = 34201514462976. Its totient is φ = 3409920000000.

The previous prime is 11000112199981. The next prime is 11000112200009. The reversal of 11000112200000 is 221100011.

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000112200009) 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 95 ways as a sum of consecutive naturals, for example, 2972198150 + ... + 2972201850.

It is an arithmetic number, because the mean of its divisors is an integer number (50895110808).

Almost surely, 2^{11000112200000} is an apocalyptic number.

11000112200000 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 11000112200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17100757231488).

11000112200000 is an abundant number, since it is smaller than the sum of its proper divisors (23201402262976).

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

11000112200000 is an equidigital number, since it uses as much as digits as its factorization.

11000112200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3949 (or 3919 counting only the distinct ones).

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

Adding to 11000112200000 its reverse (221100011), we get a palindrome (11000333300011).

The spelling of 11000112200000 in words is "eleven trillion, one hundred twelve million, two hundred thousand".