| Base | Representation |
|---|---|
| bin | 11011110000111101110110… |
| … | …111001101000010001010100 |
| 3 | 121000100210221212120001202000 |
| 4 | 123300331312321220101110 |
| 5 | 112001141301230324340 |
| 6 | 1111413324055515300 |
| 7 | 34502213254066122 |
| oct | 3360756671502124 |
| 9 | 530323855501660 |
| 10 | 122112210011220 |
| 11 | 359aa552102260 |
| 12 | 118421b8088b30 |
| 13 | 531a193cb6290 |
| 14 | 2222396428912 |
| 15 | e1b643773d30 |
| hex | 6f0f76e68454 |
122112210011220 has 768 divisors, whose sum is σ = 447536606146560. Its totient is φ = 27251545651200.
The previous prime is 122112210011173. The next prime is 122112210011243. The reversal of 122112210011220 is 22110012211221.
122112210011220 is a `hidden beast` number, since 1 + 2 + 211 + 221 + 0 + 0 + 11 + 220 = 666.
It is a super-2 number, since 2×1221122100112202 (a number of 29 digits) contains 22 as substring.
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 = 122112210011193 and 122112210011202.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 69898230387 + ... + 69898232133.
It is an arithmetic number, because the mean of its divisors is an integer number (582729955920).
Almost surely, 2122112210011220 is an apocalyptic number.
122112210011220 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 122112210011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223768303073280).
122112210011220 is an abundant number, since it is smaller than the sum of its proper divisors (325424396135340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122112210011220 is a wasteful number, since it uses less digits than its factorization.
122112210011220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3733 (or 3725 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 122112210011220 its reverse (22110012211221), we get a palindrome (144222222222441).
The spelling of 122112210011220 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred ten million, eleven thousand, two hundred twenty".
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