221222001221000 has 256 divisors, whose sum is σ = 563159240280000. Its totient is φ = 80853186355200.

The previous prime is 221222001220949. The next prime is 221222001221027. The reversal of 221222001221000 is 122100222122.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 120158910736804 + 101063090484196 = 10961702^2 + 10053014^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 221222001221000.

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, 621391046 + ... + 621746954.

Almost surely, 2^{221222001221000} is an apocalyptic number.

221222001221000 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 221222001221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281579620140000).

221222001221000 is an abundant number, since it is smaller than the sum of its proper divisors (341937239059000).

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

221222001221000 is a wasteful number, since it uses less digits than its factorization.

221222001221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356429 (or 356415 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221222001221000 its reverse (122100222122), we get a palindrome (221344101443122).

The spelling of 221222001221000 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, one million, two hundred twenty-one thousand".