Base | Representation |
---|---|
bin | 11011010011101100111000… |
… | …101101110001001010101100 |
3 | 120202020112222200200220021220 |
4 | 123103230320231301022230 |
5 | 111220214044214120022 |
6 | 1103233405504423340 |
7 | 34204006523160060 |
oct | 3323547055611254 |
9 | 522215880626256 |
10 | 120101122020012 |
11 | 352a4666394581 |
12 | 1157849a917b50 |
13 | 5202644529a83 |
14 | 2192cd5121aa0 |
15 | dd418c12585c |
hex | 6d3b38b712ac |
120101122020012 has 96 divisors (see below), whose sum is σ = 322213336349184. Its totient is φ = 34106468928000.
The previous prime is 120101122019909. The next prime is 120101122020013. The reversal of 120101122020012 is 210020221101021.
It is a super-2 number, since 2×1201011220200122 (a number of 29 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 120101122019973 and 120101122020000.
It is not an unprimeable number, because it can be changed into a prime (120101122020013) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49547512 + ... + 51914912.
It is an arithmetic number, because the mean of its divisors is an integer number (3356388920304).
Almost surely, 2120101122020012 is an apocalyptic number.
120101122020012 is a gapful number since it is divisible by the number (12) 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 120101122020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161106668174592).
120101122020012 is an abundant number, since it is smaller than the sum of its proper divisors (202112214329172).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120101122020012 is a wasteful number, since it uses less digits than its factorization.
120101122020012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2371079 (or 2371077 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 120101122020012 its reverse (210020221101021), we get a palindrome (330121343121033).
The spelling of 120101122020012 in words is "one hundred twenty trillion, one hundred one billion, one hundred twenty-two million, twenty thousand, twelve".
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