| Base | Representation |
|---|---|
| bin | 110000000000001110101101… |
| … | …001000011011000010000000 |
| 3 | 1000200112001211201101201122100 |
| 4 | 300000032231020123002000 |
| 5 | 210133010400124213440 |
| 6 | 2025004041254110400 |
| 7 | 62320030343325114 |
| oct | 6000165510330200 |
| 9 | 1020461751351570 |
| 10 | 211122022101120 |
| 11 | 612a738a599929 |
| 12 | 1b818a4204b400 |
| 13 | 90a594b7b2220 |
| 14 | 3a1c508cb1744 |
| 15 | 1961b7ceca230 |
| hex | c003ad21b080 |
211122022101120 has 384 divisors, whose sum is σ = 785144568499200. Its totient is φ = 51966210908160.
The previous prime is 211122022101113. The next prime is 211122022101169. The reversal of 211122022101120 is 21101220221112.
211122022101120 is a `hidden beast` number, since 2 + 111 + 220 + 2 + 210 + 1 + 120 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
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 = 211122022101093 and 211122022101102.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2243282865 + ... + 2243376975.
It is an arithmetic number, because the mean of its divisors is an integer number (2044647313800).
Almost surely, 2211122022101120 is an apocalyptic number.
211122022101120 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 211122022101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392572284249600).
211122022101120 is an abundant number, since it is smaller than the sum of its proper divisors (574022546398080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211122022101120 is a wasteful number, since it uses less digits than its factorization.
211122022101120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 124108 (or 124093 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 18.
Adding to 211122022101120 its reverse (21101220221112), we get a palindrome (232223242322232).
The spelling of 211122022101120 in words is "two hundred eleven trillion, one hundred twenty-two billion, twenty-two million, one hundred one thousand, one hundred twenty".
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