132122113200 has 1440 divisors, whose sum is σ = 601774817280. Its totient is φ = 27041817600.

The previous prime is 132122113163. The next prime is 132122113217. The reversal of 132122113200 is 2311221231.

132122113200 is a `hidden beast` number, since 1 + 321 + 2 + 21 + 1 + 320 + 0 = 666.

It is a super-2 number, since 2×132122113200² (a number of 23 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 950518731 + ... + 950518869.

Almost surely, 2^132122113200 is an apocalyptic number.

132122113200 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 132122113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300887408640).

132122113200 is an abundant number, since it is smaller than the sum of its proper divisors (469652704080).

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

132122113200 is a wasteful number, since it uses less digits than its factorization.

132122113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 294 counting only the distinct ones).

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

Adding to 132122113200 its reverse (2311221231), we get a palindrome (134433334431).

The spelling of 132122113200 in words is "one hundred thirty-two billion, one hundred twenty-two million, one hundred thirteen thousand, two hundred".