11221201000 has 128 divisors (see below), whose sum is σ = 26685378720. Its totient is φ = 4416000000.

The previous prime is 11221200983. The next prime is 11221201003. The reversal of 11221201000 is 10212211.

11221201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 162154756 + 11059046244 = 12734^2 + 105162^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11221201003) 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 31 ways as a sum of consecutive naturals, for example, 24340770 + ... + 24341230.

Almost surely, 2^11221201000 is an apocalyptic number.

11221201000 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 11221201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13342689360).

11221201000 is an abundant number, since it is smaller than the sum of its proper divisors (15464177720).

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

11221201000 is a wasteful number, since it uses less digits than its factorization.

11221201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 810 counting only the distinct ones).

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

Adding to 11221201000 its reverse (10212211), we get a palindrome (11231413211).

The spelling of 11221201000 in words is "eleven billion, two hundred twenty-one million, two hundred one thousand".