32221200000000 has 792 divisors, whose sum is σ = 117158705639712. Its totient is φ = 7808000000000.

The previous prime is 32221199999971. The next prime is 32221200000007. The reversal of 32221200000000 is 212223.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (32221200000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13199998780 + ... + 13200001220.

It is an arithmetic number, because the mean of its divisors is an integer number (147927658636).

Almost surely, 2^{32221200000000} is an apocalyptic number.

32221200000000 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 32221200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58579352819856).

32221200000000 is an abundant number, since it is smaller than the sum of its proper divisors (84937505639712).

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

32221200000000 is an frugal number, since it uses more digits than its factorization.

32221200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 32221200000000 its reverse (212223), we get a palindrome (32221200212223).

The spelling of 32221200000000 in words is "thirty-two trillion, two hundred twenty-one billion, two hundred million", and thus it is an aban number.