22103213200 has 120 divisors (see below), whose sum is σ = 53600466920. Its totient is φ = 8758886400.

The previous prime is 22103213191. The next prime is 22103213263. The reversal of 22103213200 is 231230122.

It can be written as a sum of positive squares in 12 ways, for example, as 12315672576 + 9787540624 = 110976^2 + 98932^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28742416 + ... + 28743184.

Almost surely, 2^22103213200 is an apocalyptic number.

22103213200 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 22103213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26800233460).

22103213200 is an abundant number, since it is smaller than the sum of its proper divisors (31497253720).

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

22103213200 is a wasteful number, since it uses less digits than its factorization.

22103213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 22103213200 its reverse (231230122), we get a palindrome (22334443322).

The spelling of 22103213200 in words is "twenty-two billion, one hundred three million, two hundred thirteen thousand, two hundred".