221111122120 has 256 divisors, whose sum is σ = 623738880000. Its totient is φ = 70287581952.

The previous prime is 221111122103. The next prime is 221111122129. The reversal of 221111122120 is 21221111122.

221111122120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221111122094 and 221111122103.

It is not an unprimeable number, because it can be changed into a prime (221111122129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12242937 + ... + 12260983.

It is an arithmetic number, because the mean of its divisors is an integer number (2436480000).

Almost surely, 2^221111122120 is an apocalyptic number.

221111122120 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 221111122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311869440000).

221111122120 is an abundant number, since it is smaller than the sum of its proper divisors (402627757880).

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

221111122120 is a wasteful number, since it uses less digits than its factorization.

221111122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18145 (or 18127 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221111122120 its reverse (21221111122), we get a palindrome (242332233242).

The spelling of 221111122120 in words is "two hundred twenty-one billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty".