221221120208 has 160 divisors (see below), whose sum is σ = 493322711040. Its totient is φ = 95179392000.

The previous prime is 221221120199. The next prime is 221221120217. The reversal of 221221120208 is 802021122122.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (221221120199) and next prime (221221120217).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67920116 + ... + 67923372.

It is an arithmetic number, because the mean of its divisors is an integer number (3083266944).

Almost surely, 2^221221120208 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 221221120208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246661355520).

221221120208 is an abundant number, since it is smaller than the sum of its proper divisors (272101590832).

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

221221120208 is a wasteful number, since it uses less digits than its factorization.

221221120208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577 (or 3571 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The spelling of 221221120208 in words is "two hundred twenty-one billion, two hundred twenty-one million, one hundred twenty thousand, two hundred eight".