11220001000 has 128 divisors (see below), whose sum is σ = 28366884000. Its totient is φ = 4129228800.

The previous prime is 11220000937. The next prime is 11220001007. The reversal of 11220001000 is 10002211.

It can be written as a sum of positive squares in 16 ways, for example, as 278422596 + 10941578404 = 16686^2 + 104602^2 .

It is not an unprimeable number, because it can be changed into a prime (11220001007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4535764 + ... + 4538236.

Almost surely, 2^11220001000 is an apocalyptic number.

11220001000 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 11220001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14183442000).

11220001000 is an abundant number, since it is smaller than the sum of its proper divisors (17146883000).

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

11220001000 is a wasteful number, since it uses less digits than its factorization.

11220001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 11220001000 its reverse (10002211), we get a palindrome (11230003211).

The spelling of 11220001000 in words is "eleven billion, two hundred twenty million, one thousand".