11011000222000 has 80 divisors (see below), whose sum is σ = 26646553788192. Its totient is φ = 4400768121600.

The previous prime is 11011000221961. The next prime is 11011000222037. The reversal of 11011000222000 is 22200011011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156627 + ... + 4695373.

Almost surely, 2^{11011000222000} is an apocalyptic number.

11011000222000 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 11011000222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13323276894096).

11011000222000 is an abundant number, since it is smaller than the sum of its proper divisors (15635553566192).

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

11011000222000 is a wasteful number, since it uses less digits than its factorization.

11011000222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539983 (or 4539967 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11011000222000 its reverse (22200011011), we get a palindrome (11033200233011).

The spelling of 11011000222000 in words is "eleven trillion, eleven billion, two hundred twenty-two thousand".