3200201132000 has 192 divisors, whose sum is σ = 8050948686144. Its totient is φ = 1249803878400.

The previous prime is 3200201131997. The next prime is 3200201132003. The reversal of 3200201132000 is 2311020023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3200201131997) and next prime (3200201132003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200201132003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30231164 + ... + 30336836.

It is an arithmetic number, because the mean of its divisors is an integer number (41932024407).

Almost surely, 2^{3200201132000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200201132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025474343072).

3200201132000 is an abundant number, since it is smaller than the sum of its proper divisors (4850747554144).

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

3200201132000 is a wasteful number, since it uses less digits than its factorization.

3200201132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105878 (or 105860 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 3200201132000 its reverse (2311020023), we get a palindrome (3202512152023).

The spelling of 3200201132000 in words is "three trillion, two hundred billion, two hundred one million, one hundred thirty-two thousand".