11000212221200 has 120 divisors (see below), whose sum is σ = 27347383230600. Its totient is φ = 4247104942080.

The previous prime is 11000212221197. The next prime is 11000212221209. The reversal of 11000212221200 is 212221200011.

It can be written as a sum of positive squares in 12 ways, for example, as 2167808633104 + 8832403588096 = 1472348^2 + 2971936^2 .

It is a super-2 number, since 2×11000212221200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11000212221209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39684686 + ... + 39960914.

It is an arithmetic number, because the mean of its divisors is an integer number (227894860255).

Almost surely, 2^{11000212221200} is an apocalyptic number.

11000212221200 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 11000212221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13673691615300).

11000212221200 is an abundant number, since it is smaller than the sum of its proper divisors (16347171009400).

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

11000212221200 is a wasteful number, since it uses less digits than its factorization.

11000212221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279709 (or 279698 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11000212221200 its reverse (212221200011), we get a palindrome (11212433421211).

The spelling of 11000212221200 in words is "eleven trillion, two hundred twelve million, two hundred twenty-one thousand, two hundred".