232132101201000 has 2304 divisors, whose sum is σ = 1087894485849600. Its totient is φ = 43320655872000.

The previous prime is 232132101200981. The next prime is 232132101201031. The reversal of 232132101201000 is 102101231232.

232132101201000 is a `hidden beast` number, since 2 + 321 + 3 + 210 + 120 + 10 + 0 + 0 = 666.

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 (29) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4333302216 + ... + 4333355784.

It is an arithmetic number, because the mean of its divisors is an integer number (472176426150).

Almost surely, 2^{232132101201000} is an apocalyptic number.

232132101201000 is a gapful number since it is divisible by the number (20) 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 232132101201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543947242924800).

232132101201000 is an abundant number, since it is smaller than the sum of its proper divisors (855762384648600).

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

232132101201000 is a wasteful number, since it uses less digits than its factorization.

232132101201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53677 (or 53647 counting only the distinct ones).

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

Adding to 232132101201000 its reverse (102101231232), we get a palindrome (232234202432232).

The spelling of 232132101201000 in words is "two hundred thirty-two trillion, one hundred thirty-two billion, one hundred one million, two hundred one thousand".