22111133300 has 72 divisors (see below), whose sum is σ = 51374758680. Its totient is φ = 8230604800.

The previous prime is 22111133299. The next prime is 22111133333. The reversal of 22111133300 is 333111122.

It can be written as a sum of positive squares in 12 ways, for example, as 1823119204 + 20288014096 = 42698^2 + 142436^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78230 + ... + 224370.

It is an arithmetic number, because the mean of its divisors is an integer number (713538315).

Almost surely, 2^22111133300 is an apocalyptic number.

22111133300 is a gapful number since it is divisible by the number (20) 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 22111133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25687379340).

22111133300 is an abundant number, since it is smaller than the sum of its proper divisors (29263625380).

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

22111133300 is a wasteful number, since it uses less digits than its factorization.

22111133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146261 (or 146254 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 22111133300 its reverse (333111122), we get a palindrome (22444244422).

The spelling of 22111133300 in words is "twenty-two billion, one hundred eleven million, one hundred thirty-three thousand, three hundred".