221222020221000 has 192 divisors, whose sum is σ = 791714571738480. Its totient is φ = 55522389350400.

The previous prime is 221222020220989. The next prime is 221222020221029. The reversal of 221222020221000 is 122020222122.

221222020221000 is a `hidden beast` number, since 2 + 212 + 220 + 20 + 2 + 210 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 75914576676 + 221146105644324 = 275526^2 + 14870982^2 .

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 47 ways as a sum of consecutive naturals, for example, 722794779 + ... + 723100778.

Almost surely, 2^{221222020221000} is an apocalyptic number.

221222020221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221222020221000 is an abundant number, since it is smaller than the sum of its proper divisors (570492551517480).

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

221222020221000 is a wasteful number, since it uses less digits than its factorization.

221222020221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445895601 (or 1445895584 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221222020221000 its reverse (122020222122), we get a palindrome (221344040443122).

The spelling of 221222020221000 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, twenty million, two hundred twenty-one thousand".