132201133200000 has 1152 divisors, whose sum is σ = 491257462353840. Its totient is φ = 34096619520000.

The previous prime is 132201133199987. The next prime is 132201133200011. The reversal of 132201133200000 is 2331102231.

132201133200000 is a `hidden beast` number, since 1 + 322 + 0 + 11 + 332 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 95817942904896 + 36383190295104 = 9788664^2 + 6031848^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23043597132 + ... + 23043602868.

Almost surely, 2^{132201133200000} is an apocalyptic number.

132201133200000 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 132201133200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245628731176920).

132201133200000 is an abundant number, since it is smaller than the sum of its proper divisors (359056329153840).

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

132201133200000 is an equidigital number, since it uses as much as digits as its factorization.

132201133200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5992 (or 5957 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132201133200000 its reverse (2331102231), we get a palindrome (132203464302231).

The spelling of 132201133200000 in words is "one hundred thirty-two trillion, two hundred one billion, one hundred thirty-three million, two hundred thousand".