132122220331200 has 672 divisors, whose sum is σ = 501370169541120. Its totient is φ = 30104808652800.

The previous prime is 132122220331187. The next prime is 132122220331223. The reversal of 132122220331200 is 2133022221231.

It is a super-2 number, since 2×132122220331200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 666817746 + ... + 667015854.

Almost surely, 2^{132122220331200} is an apocalyptic number.

132122220331200 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 132122220331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250685084770560).

132122220331200 is an abundant number, since it is smaller than the sum of its proper divisors (369247949209920).

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

132122220331200 is a wasteful number, since it uses less digits than its factorization.

132122220331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198905 (or 198890 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132122220331200 its reverse (2133022221231), we get a palindrome (134255242552431).

The spelling of 132122220331200 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, two hundred twenty million, three hundred thirty-one thousand, two hundred".