132221102131200 has 576 divisors, whose sum is σ = 444117955881600. Its totient is φ = 34695453081600.

The previous prime is 132221102131187. The next prime is 132221102131267. The reversal of 132221102131200 is 2131201122231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4922405770 + ... + 4922432630.

It is an arithmetic number, because the mean of its divisors is an integer number (771038117850).

Almost surely, 2^{132221102131200} is an apocalyptic number.

132221102131200 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 132221102131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222058977940800).

132221102131200 is an abundant number, since it is smaller than the sum of its proper divisors (311896853750400).

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

132221102131200 is a wasteful number, since it uses less digits than its factorization.

132221102131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27408 (or 27383 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 132221102131200 its reverse (2131201122231), we get a palindrome (134352303253431).

The spelling of 132221102131200 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, one hundred two million, one hundred thirty-one thousand, two hundred".