22123132200 has 288 divisors, whose sum is σ = 80176769400. Its totient is φ = 5434490880.

The previous prime is 22123132151. The next prime is 22123132211. The reversal of 22123132200 is 223132122.

It can be written as a sum of positive squares in 12 ways, for example, as 2196421956 + 19926710244 = 46866^2 + 141162^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21925296 + ... + 21926304.

Almost surely, 2^22123132200 is an apocalyptic number.

22123132200 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 22123132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40088384700).

22123132200 is an abundant number, since it is smaller than the sum of its proper divisors (58053637200).

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

22123132200 is a wasteful number, since it uses less digits than its factorization.

22123132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22123132200 its reverse (223132122), we get a palindrome (22346264322).

The spelling of 22123132200 in words is "twenty-two billion, one hundred twenty-three million, one hundred thirty-two thousand, two hundred".