221141021122120 has 256 divisors, whose sum is σ = 565929815040000. Its totient is φ = 77041396992000.

The previous prime is 221141021122037. The next prime is 221141021122121. The reversal of 221141021122120 is 21221120141122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 221141021122091 and 221141021122100.

It is not an unprimeable number, because it can be changed into a prime (221141021122121) 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, 2187709980 + ... + 2187811060.

It is an arithmetic number, because the mean of its divisors is an integer number (2210663340000).

Almost surely, 2^{221141021122120} is an apocalyptic number.

221141021122120 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 221141021122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282964907520000).

221141021122120 is an abundant number, since it is smaller than the sum of its proper divisors (344788793917880).

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

221141021122120 is a wasteful number, since it uses less digits than its factorization.

221141021122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102740 (or 102736 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 221141021122120 its reverse (21221120141122), we get a palindrome (242362141263242).

The spelling of 221141021122120 in words is "two hundred twenty-one trillion, one hundred forty-one billion, twenty-one million, one hundred twenty-two thousand, one hundred twenty".