| Base | Representation |
|---|---|
| bin | 1100110100010110101… |
| … | …0000111010101111000 |
| 3 | 210001101221201200020110 |
| 4 | 3031011222013111320 |
| 5 | 12101443233000440 |
| 6 | 245055231224320 |
| 7 | 21624026055030 |
| oct | 3150552072570 |
| 9 | 701357650213 |
| 10 | 220212000120 |
| 11 | 85433a2a032 |
| 12 | 368186780a0 |
| 13 | 179c58c3168 |
| 14 | a9305d08c0 |
| 15 | 5adcb1a080 |
| hex | 3345a87578 |
220212000120 has 128 divisors (see below), whose sum is σ = 755706493440. Its totient is φ = 50287910400.
The previous prime is 220212000109. The next prime is 220212000137. The reversal of 220212000120 is 21000212022.
220212000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 220212000096 and 220212000105.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 798195 + ... + 1038045.
It is an arithmetic number, because the mean of its divisors is an integer number (5903956980).
Almost surely, 2220212000120 is an apocalyptic number.
220212000120 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 220212000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377853246720).
220212000120 is an abundant number, since it is smaller than the sum of its proper divisors (535494493320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220212000120 is a wasteful number, since it uses less digits than its factorization.
220212000120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 240965 (or 240961 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 220212000120 its reverse (21000212022), we get a palindrome (241212212142).
The spelling of 220212000120 in words is "two hundred twenty billion, two hundred twelve million, one hundred twenty", and thus it is an aban number.
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