Base | Representation |
---|---|
bin | 10001011110101110010… |
… | …111001110110001110100 |
3 | 11020211120011121112211120 |
4 | 101132232113032301310 |
5 | 124140100111413022 |
6 | 2315500003103540 |
7 | 152533244511600 |
oct | 21365627166164 |
9 | 4224504545746 |
10 | 1201221201012 |
11 | 423487063528 |
12 | 17497a671bb0 |
13 | 893755c3161 |
14 | 421d47b6500 |
15 | 213a7012d5c |
hex | 117ae5cec74 |
1201221201012 has 144 divisors (see below), whose sum is σ = 3277360719360. Its totient is φ = 341429292288.
The previous prime is 1201221200983. The next prime is 1201221201013. The reversal of 1201221201012 is 2101021221021.
It is a junction number, because it is equal to n+sod(n) for n = 1201221200982 and 1201221201000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1201221201013) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210996838 + ... + 211002530.
It is an arithmetic number, because the mean of its divisors is an integer number (22759449440).
Almost surely, 21201221201012 is an apocalyptic number.
1201221201012 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 1201221201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638680359680).
1201221201012 is an abundant number, since it is smaller than the sum of its proper divisors (2076139518348).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1201221201012 is a wasteful number, since it uses less digits than its factorization.
1201221201012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7510 (or 7501 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
Adding to 1201221201012 its reverse (2101021221021), we get a palindrome (3302242422033).
The spelling of 1201221201012 in words is "one trillion, two hundred one billion, two hundred twenty-one million, two hundred one thousand, twelve".
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