| Base | Representation |
|---|---|
| bin | 110000000000001110101100… |
| … | …100010101100100000010100 |
| 3 | 1000200112001211000210021020202 |
| 4 | 300000032230202230200110 |
| 5 | 210133010340111224340 |
| 6 | 2025004040302120032 |
| 7 | 62320030163264435 |
| oct | 6000165442544024 |
| 9 | 1020461730707222 |
| 10 | 211122012211220 |
| 11 | 612a7384a54460 |
| 12 | 1b818a3a880018 |
| 13 | 90a594972b806 |
| 14 | 3a1c50785948c |
| 15 | 1961b7c1c4c15 |
| hex | c003ac8ac814 |
211122012211220 has 192 divisors, whose sum is σ = 490707214663680. Its totient is φ = 75658078540800.
The previous prime is 211122012211213. The next prime is 211122012211373. The reversal of 211122012211220 is 22112210221112.
It is a super-3 number, since 3×2111220122112203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 211122012211192 and 211122012211201.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13745809901 + ... + 13745825259.
It is an arithmetic number, because the mean of its divisors is an integer number (2555766743040).
Almost surely, 2211122012211220 is an apocalyptic number.
211122012211220 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 211122012211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245353607331840).
211122012211220 is an abundant number, since it is smaller than the sum of its proper divisors (279585202452460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211122012211220 is a wasteful number, since it uses less digits than its factorization.
211122012211220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17286 (or 17284 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 20.
Adding to 211122012211220 its reverse (22112210221112), we get a palindrome (233234222432332).
The spelling of 211122012211220 in words is "two hundred eleven trillion, one hundred twenty-two billion, twelve million, two hundred eleven thousand, two hundred twenty".
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