221111221221120 has 288 divisors, whose sum is σ = 737038001677824. Its totient is φ = 56387074867200.

The previous prime is 221111221221103. The next prime is 221111221221161. The reversal of 221111221221120 is 21122122111122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407855835 + ... + 408397605.

It is an arithmetic number, because the mean of its divisors is an integer number (2559159728048).

Almost surely, 2^{221111221221120} is an apocalyptic number.

221111221221120 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 221111221221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368519000838912).

221111221221120 is an abundant number, since it is smaller than the sum of its proper divisors (515926780456704).

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

221111221221120 is a wasteful number, since it uses less digits than its factorization.

221111221221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546439 (or 546425 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 221111221221120 its reverse (21122122111122), we get a palindrome (242233343332242).

The spelling of 221111221221120 in words is "two hundred twenty-one trillion, one hundred eleven billion, two hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".