| Base | Representation |
|---|---|
| bin | 1100111000000100100… |
| … | …1101001010000000100 |
| 3 | 210010222111212110222121 |
| 4 | 3032001021221100010 |
| 5 | 12111014242334340 |
| 6 | 245342244335324 |
| 7 | 21660536002054 |
| oct | 3160111512004 |
| 9 | 703874773877 |
| 10 | 221210121220 |
| 11 | 858a638a200 |
| 12 | 36a569a4544 |
| 13 | 17b2462306a |
| 14 | a9c6dad564 |
| 15 | 5b4a57994a |
| hex | 3381269404 |
221210121220 has 144 divisors (see below), whose sum is σ = 521512311600. Its totient is φ = 78740992000.
The previous prime is 221210121203. The next prime is 221210121227. The reversal of 221210121220 is 22121012122.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 21837155076 + 199372966144 = 147774^2 + 446512^2 .
It is a junction number, because it is equal to n+sod(n) for n = 221210121194 and 221210121203.
It is not an unprimeable number, because it can be changed into a prime (221210121227) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21748296 + ... + 21758464.
It is an arithmetic number, because the mean of its divisors is an integer number (3621613275).
Almost surely, 2221210121220 is an apocalyptic number.
221210121220 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 221210121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260756155800).
221210121220 is an abundant number, since it is smaller than the sum of its proper divisors (300302190380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221210121220 is a wasteful number, since it uses less digits than its factorization.
221210121220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10390 (or 10377 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 221210121220 its reverse (22121012122), we get a palindrome (243331133342).
The spelling of 221210121220 in words is "two hundred twenty-one billion, two hundred ten million, one hundred twenty-one thousand, two hundred twenty".
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