22132132200 has 480 divisors, whose sum is σ = 79299891000. Its totient is φ = 5718435840.

The previous prime is 22132132181. The next prime is 22132132229. The reversal of 22132132200 is 223123122.

22132132200 is a `hidden beast` number, since 2 + 21 + 321 + 322 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3155967684 + 18976164516 = 56178^2 + 137754^2 .

It is a super-5 number, since 5×22132132200⁵ (a number of 53 digits) contains 55555 as substring.

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 119 ways as a sum of consecutive naturals, for example, 127931314 + ... + 127931486.

Almost surely, 2^22132132200 is an apocalyptic number.

22132132200 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 22132132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39649945500).

22132132200 is an abundant number, since it is smaller than the sum of its proper divisors (57167758800).

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

22132132200 is a wasteful number, since it uses less digits than its factorization.

22132132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 385 counting only the distinct ones).

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

Adding to 22132132200 its reverse (223123122), we get a palindrome (22355255322).

The spelling of 22132132200 in words is "twenty-two billion, one hundred thirty-two million, one hundred thirty-two thousand, two hundred".