220221121221000 has 256 divisors, whose sum is σ = 764008652160000. Its totient is φ = 58681368345600.

The previous prime is 220221121220963. The next prime is 220221121221089. The reversal of 220221121221000 is 122121122022.

It is a happy number.

220221121221000 is a `hidden beast` number, since 2 + 20 + 221 + 1 + 212 + 210 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32755776 + ... + 38902224.

It is an arithmetic number, because the mean of its divisors is an integer number (2984408797500).

Almost surely, 2^{220221121221000} is an apocalyptic number.

220221121221000 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 220221121221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382004326080000).

220221121221000 is an abundant number, since it is smaller than the sum of its proper divisors (543787530939000).

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

220221121221000 is a wasteful number, since it uses less digits than its factorization.

220221121221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147806 (or 6147786 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220221121221000 its reverse (122121122022), we get a palindrome (220343242343022).

The spelling of 220221121221000 in words is "two hundred twenty trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred twenty-one thousand".