132213022200 has 768 divisors, whose sum is σ = 568935014400. Its totient is φ = 27520819200.

The previous prime is 132213022189. The next prime is 132213022247. The reversal of 132213022200 is 2220312231.

It is a super-3 number, since 3×132213022200³ (a number of 34 digits) contains 333 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 19917282 + ... + 19923918.

It is an arithmetic number, because the mean of its divisors is an integer number (740800800).

Almost surely, 2^132213022200 is an apocalyptic number.

132213022200 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 132213022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284467507200).

132213022200 is an abundant number, since it is smaller than the sum of its proper divisors (436721992200).

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

132213022200 is a wasteful number, since it uses less digits than its factorization.

132213022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6717 (or 6702 counting only the distinct ones).

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

Adding to 132213022200 its reverse (2220312231), we get a palindrome (134433334431).

The spelling of 132213022200 in words is "one hundred thirty-two billion, two hundred thirteen million, twenty-two thousand, two hundred".