11220321300 has 144 divisors (see below), whose sum is σ = 34442920512. Its totient is φ = 2810419200.

The previous prime is 11220321247. The next prime is 11220321323. The reversal of 11220321300 is 312302211.

It is a super-2 number, since 2×11220321300² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11220321300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2910174 + ... + 2914026.

It is an arithmetic number, because the mean of its divisors is an integer number (239186948).

Almost surely, 2^11220321300 is an apocalyptic number.

11220321300 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 11220321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221460256).

11220321300 is an abundant number, since it is smaller than the sum of its proper divisors (23222599212).

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

11220321300 is a wasteful number, since it uses less digits than its factorization.

11220321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11220321300 its reverse (312302211), we get a palindrome (11532623511).

It can be divided in two parts, 11220 and 321300, that added together give a triangular number (332520 = T₈₁₅).

The spelling of 11220321300 in words is "eleven billion, two hundred twenty million, three hundred twenty-one thousand, three hundred".