220121223000 has 256 divisors, whose sum is σ = 811956787200. Its totient is φ = 48578342400.

The previous prime is 220121222999. The next prime is 220121223067. The reversal of 220121223000 is 322121022.

It is a happy number.

220121223000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 428277 + ... + 789723.

It is an arithmetic number, because the mean of its divisors is an integer number (3171706200).

Almost surely, 2^220121223000 is an apocalyptic number.

220121223000 is a gapful number since it is divisible by the number (20) 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 220121223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405978393600).

220121223000 is an abundant number, since it is smaller than the sum of its proper divisors (591835564200).

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

220121223000 is a wasteful number, since it uses less digits than its factorization.

220121223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361507 (or 361493 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 220121223000 its reverse (322121022), we get a palindrome (220443344022).

The spelling of 220121223000 in words is "two hundred twenty billion, one hundred twenty-one million, two hundred twenty-three thousand".