221111221120020 has 576 divisors, whose sum is σ = 845429310835200. Its totient is φ = 45440866713600.

The previous prime is 221111221120007. The next prime is 221111221120021. The reversal of 221111221120020 is 20021122111122.

221111221120020 is a `hidden beast` number, since 2 + 211 + 11 + 221 + 1 + 200 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 221111221119975 and 221111221120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221111221120021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 480947860 + ... + 481407380.

It is an arithmetic number, because the mean of its divisors is an integer number (1467759220200).

Almost surely, 2^{221111221120020} is an apocalyptic number.

221111221120020 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 221111221120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422714655417600).

221111221120020 is an abundant number, since it is smaller than the sum of its proper divisors (624318089715180).

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

221111221120020 is a wasteful number, since it uses less digits than its factorization.

221111221120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459936 (or 459931 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221111221120020 its reverse (20021122111122), we get a palindrome (241132343231142).

The spelling of 221111221120020 in words is "two hundred twenty-one trillion, one hundred eleven billion, two hundred twenty-one million, one hundred twenty thousand, twenty".