132113221200 has 540 divisors, whose sum is σ = 482163587100. Its totient is φ = 33473986560.

The previous prime is 132113221181. The next prime is 132113221213. The reversal of 132113221200 is 2122311231.

132113221200 is a `hidden beast` number, since 1 + 321 + 1 + 322 + 1 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2634152976 + 129479068224 = 51324^2 + 359832^2 .

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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 294238576 + ... + 294239024.

Almost surely, 2^132113221200 is an apocalyptic number.

132113221200 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 132113221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241081793550).

132113221200 is an abundant number, since it is smaller than the sum of its proper divisors (350050365900).

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

132113221200 is a wasteful number, since it uses less digits than its factorization.

132113221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132113221200 its reverse (2122311231), we get a palindrome (134235532431).

The spelling of 132113221200 in words is "one hundred thirty-two billion, one hundred thirteen million, two hundred twenty-one thousand, two hundred".