32132332201200 has 960 divisors, whose sum is σ = 133283297132544. Its totient is φ = 6421731840000.

The previous prime is 32132332201183. The next prime is 32132332201241. The reversal of 32132332201200 is 210223323123.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 466862790 + ... + 466931610.

Almost surely, 2^{32132332201200} is an apocalyptic number.

32132332201200 is a gapful number since it is divisible by the number (30) 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 32132332201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66641648566272).

32132332201200 is an abundant number, since it is smaller than the sum of its proper divisors (101150964931344).

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

32132332201200 is a wasteful number, since it uses less digits than its factorization.

32132332201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69054 (or 69043 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 32132332201200 its reverse (210223323123), we get a palindrome (32342555524323).

It can be divided in two parts, 321323 and 32201200, that added together give a palindrome (32522523).

The spelling of 32132332201200 in words is "thirty-two trillion, one hundred thirty-two billion, three hundred thirty-two million, two hundred one thousand, two hundred".