32200020000000 has 432 divisors, whose sum is σ = 116051096463120. Its totient is φ = 8586624000000.

The previous prime is 32200019999971. The next prime is 32200020000107. The reversal of 32200020000000 is 2000223.

It can be written as a sum of positive squares in 8 ways, for example, as 14747811922944 + 17452208077056 = 3840288^2 + 4177584^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179910556 + ... + 180089444.

Almost surely, 2^{32200020000000} is an apocalyptic number.

32200020000000 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 32200020000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58025548231560).

32200020000000 is an abundant number, since it is smaller than the sum of its proper divisors (83851076463120).

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

32200020000000 is an frugal number, since it uses more digits than its factorization.

32200020000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178946 (or 178899 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 32200020000000 its reverse (2000223), we get a palindrome (32200022000223).

The spelling of 32200020000000 in words is "thirty-two trillion, two hundred billion, twenty million", and thus it is an aban number.