| Base | Representation |
|---|---|
| bin | 11011110000111100000000… |
| … | …011001111110001101111100 |
| 3 | 121000100121211022202200102121 |
| 4 | 123300330000121332031330 |
| 5 | 112001123213313013040 |
| 6 | 1111412354521532324 |
| 7 | 34502113064222041 |
| oct | 3360740031761574 |
| 9 | 530317738680377 |
| 10 | 122110222001020 |
| 11 | 359a9721a04820 |
| 12 | 118419423440a4 |
| 13 | 5319c38179396 |
| 14 | 22222483b11c8 |
| 15 | e1b578e7dc4a |
| hex | 6f0f0067e37c |
122110222001020 has 192 divisors, whose sum is σ = 292769495625600. Its totient is φ = 42373345280000.
The previous prime is 122110222000999. The next prime is 122110222001177. The reversal of 122110222001020 is 20100222011221.
It is a happy number.
122110222001020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×1221102220010203 (a number of 43 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 122110222000985 and 122110222001003.
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, 366485700 + ... + 366818740.
It is an arithmetic number, because the mean of its divisors is an integer number (1524841123050).
Almost surely, 2122110222001020 is an apocalyptic number.
122110222001020 is a gapful number since it is divisible by the number (10) 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 122110222001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146384747812800).
122110222001020 is an abundant number, since it is smaller than the sum of its proper divisors (170659273624580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122110222001020 is a wasteful number, since it uses less digits than its factorization.
122110222001020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 333760 (or 333758 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
Adding to 122110222001020 its reverse (20100222011221), we get a palindrome (142210444012241).
The spelling of 122110222001020 in words is "one hundred twenty-two trillion, one hundred ten billion, two hundred twenty-two million, one thousand, twenty".
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