| Base | Representation |
|---|---|
| bin | 100000001011010000011… |
| … | …111000101100000111000 |
| 3 | 21211101021010102211020110 |
| 4 | 200023100133011200320 |
| 5 | 242211323404000440 |
| 6 | 4411434222224320 |
| 7 | 315514251253311 |
| oct | 40132037054070 |
| 9 | 7741233384213 |
| 10 | 2211111000120 |
| 11 | 7827aa574910 |
| 12 | 2b86407250a0 |
| 13 | 1306787a3519 |
| 14 | 79038497608 |
| 15 | 3c7b1b1a080 |
| hex | 202d07c5838 |
2211111000120 has 512 divisors, whose sum is σ = 7551822274560. Its totient is φ = 513192960000.
The previous prime is 2211111000113. The next prime is 2211111000127. The reversal of 2211111000120 is 210001111122.
It is an interprime number because it is at equal distance from previous prime (2211111000113) and next prime (2211111000127).
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 = 2211111000096 and 2211111000105.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2211111000127) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 853380025 + ... + 853382615.
It is an arithmetic number, because the mean of its divisors is an integer number (14749652880).
Almost surely, 22211111000120 is an apocalyptic number.
2211111000120 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 2211111000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775911137280).
2211111000120 is an abundant number, since it is smaller than the sum of its proper divisors (5340711274440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2211111000120 is a wasteful number, since it uses less digits than its factorization.
2211111000120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2927 (or 2923 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 12.
Adding to 2211111000120 its reverse (210001111122), we get a palindrome (2421112111242).
The spelling of 2211111000120 in words is "two trillion, two hundred eleven billion, one hundred eleven million, one hundred twenty", and thus it is an aban number.
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