| Base | Representation |
|---|---|
| bin | 1001010010111111111101… |
| … | …1001101100010000001000 |
| 3 | 1100012012210121012121020000 |
| 4 | 2110233333121230100020 |
| 5 | 2314434140100401440 |
| 6 | 33423532203203000 |
| 7 | 2103341663265411 |
| oct | 224577731542010 |
| 9 | 40165717177200 |
| 10 | 10222012122120 |
| 11 | 32911493a0387 |
| 12 | 1191117216460 |
| 13 | 591c15982116 |
| 14 | 274a68828808 |
| 15 | 12ad70adc730 |
| hex | 94bff66c408 |
10222012122120 has 320 divisors, whose sum is σ = 35965159971840. Its totient is φ = 2600782732800.
The previous prime is 10222012122031. The next prime is 10222012122139. The reversal of 10222012122120 is 2122121022201.
It is a happy number.
10222012122120 is a `hidden beast` number, since 102 + 220 + 121 + 221 + 2 + 0 = 666.
10222012122120 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 (18).
It is a junction number, because it is equal to n+sod(n) for n = 10222012122093 and 10222012122102.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6414534 + ... + 7847946.
It is an arithmetic number, because the mean of its divisors is an integer number (112391124912).
Almost surely, 210222012122120 is an apocalyptic number.
10222012122120 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 10222012122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17982579985920).
10222012122120 is an abundant number, since it is smaller than the sum of its proper divisors (25743147849720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10222012122120 is a wasteful number, since it uses less digits than its factorization.
10222012122120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1433538 (or 1433525 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 10222012122120 its reverse (2122121022201), we get a palindrome (12344133144321).
The spelling of 10222012122120 in words is "ten trillion, two hundred twenty-two billion, twelve million, one hundred twenty-two thousand, one hundred twenty".
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