32322201001200 has 480 divisors, whose sum is σ = 129550008268800. Its totient is φ = 7582920192000.

The previous prime is 32322201001171. The next prime is 32322201001213. The reversal of 32322201001200 is 210010222323.

32322201001200 is a `hidden beast` number, since 3 + 232 + 220 + 10 + 0 + 1 + 200 = 666.

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

It is a congruent number.

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, 705465 + ... + 8071064.

It is an arithmetic number, because the mean of its divisors is an integer number (269895850560).

Almost surely, 2^{32322201001200} is an apocalyptic number.

32322201001200 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 32322201001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64775004134400).

32322201001200 is an abundant number, since it is smaller than the sum of its proper divisors (97227807267600).

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

32322201001200 is a wasteful number, since it uses less digits than its factorization.

32322201001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8776598 (or 8776581 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 32322201001200 its reverse (210010222323), we get a palindrome (32532211223523).

The spelling of 32322201001200 in words is "thirty-two trillion, three hundred twenty-two billion, two hundred one million, one thousand, two hundred".