11220100112000 has 256 divisors, whose sum is σ = 30166607671200. Its totient is φ = 4125597696000.

The previous prime is 11220100111901. The next prime is 11220100112033. The reversal of 11220100112000 is 21100102211.

It can be written as a sum of positive squares in 16 ways, for example, as 102036802624 + 11118063309376 = 319432^2 + 3334376^2 .

It is an unprimeable number.

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, 50016086 + ... + 50239914.

Almost surely, 2^{11220100112000} is an apocalyptic number.

11220100112000 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 11220100112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15083303835600).

11220100112000 is an abundant number, since it is smaller than the sum of its proper divisors (18946507559200).

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

11220100112000 is a wasteful number, since it uses less digits than its factorization.

11220100112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224112 (or 224090 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11220100112000 its reverse (21100102211), we get a palindrome (11241200214211).

The spelling of 11220100112000 in words is "eleven trillion, two hundred twenty billion, one hundred million, one hundred twelve thousand".