Base | Representation |
---|---|
bin | 11110111000011000010… |
… | …101011101001110001000 |
3 | 21111212120100011102202002 |
4 | 132320120111131032020 |
5 | 234232101230401440 |
6 | 4302520041530132 |
7 | 306214110262310 |
oct | 36703025351610 |
9 | 7455510142662 |
10 | 2122122122120 |
11 | 748a94683740 |
12 | 2a33464a3948 |
13 | 1251662b38b0 |
14 | 749d59a0440 |
15 | 3a30441a115 |
hex | 1ee1855d388 |
2122122122120 has 512 divisors, whose sum is σ = 6597184527360. Its totient is φ = 593049600000.
The previous prime is 2122122122069. The next prime is 2122122122179. The reversal of 2122122122120 is 212212212212.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 2122122122092 and 2122122122101.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 214329170 + ... + 214339070.
It is an arithmetic number, because the mean of its divisors is an integer number (12885126030).
Almost surely, 22122122122120 is an apocalyptic number.
2122122122120 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 2122122122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3298592263680).
2122122122120 is an abundant number, since it is smaller than the sum of its proper divisors (4475062405240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122122122120 is a wasteful number, since it uses less digits than its factorization.
2122122122120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10097 (or 10093 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 20.
Adding to 2122122122120 its reverse (212212212212), we get a palindrome (2334334334332).
It can be divided in two parts, 212212 and 2122120, that added together give a palindrome (2334332).
The spelling of 2122122122120 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".
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