32223121121000 has 192 divisors, whose sum is σ = 80252542983600. Its totient is φ = 12107716608000.

The previous prime is 32223121120979. The next prime is 32223121121003. The reversal of 32223121121000 is 12112132223.

It can be written as a sum of positive squares in 24 ways, for example, as 12242203240996 + 19980917880004 = 3498886^2 + 4470002^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (32223121121003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 150461996 + ... + 150676004.

Almost surely, 2^{32223121121000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32223121121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40126271491800).

32223121121000 is an abundant number, since it is smaller than the sum of its proper divisors (48029421862600).

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

32223121121000 is a wasteful number, since it uses less digits than its factorization.

32223121121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214585 (or 214554 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 32223121121000 its reverse (12112132223), we get a palindrome (32235233253223).

The spelling of 32223121121000 in words is "thirty-two trillion, two hundred twenty-three billion, one hundred twenty-one million, one hundred twenty-one thousand".