Base | Representation |
---|---|
bin | 11011100010101101001001… |
… | …110100010100101110001100 |
3 | 120212220010101100220021122202 |
4 | 123202231021310110232030 |
5 | 111334112221440232340 |
6 | 1105343210455501032 |
7 | 34341340602600200 |
oct | 3342551164245614 |
9 | 525803340807582 |
10 | 121132201102220 |
11 | 35661972680980 |
12 | 11704295087778 |
13 | 52789435c6289 |
14 | 21cab89028b00 |
15 | e00dd70b8c15 |
hex | 6e2b49d14b8c |
121132201102220 has 576 divisors, whose sum is σ = 341296913664000. Its totient is φ = 35611086551040.
The previous prime is 121132201102219. The next prime is 121132201102223. The reversal of 121132201102220 is 22201102231121.
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 = 121132201102192 and 121132201102201.
It is not an unprimeable number, because it can be changed into a prime (121132201102223) 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 191 ways as a sum of consecutive naturals, for example, 91282743197 + ... + 91282744523.
It is an arithmetic number, because the mean of its divisors is an integer number (592529364000).
Almost surely, 2121132201102220 is an apocalyptic number.
121132201102220 is a gapful number since it is divisible by the number (10) 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 121132201102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170648456832000).
121132201102220 is an abundant number, since it is smaller than the sum of its proper divisors (220164712561780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121132201102220 is a wasteful number, since it uses less digits than its factorization.
121132201102220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3006 (or 2997 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 20.
Adding to 121132201102220 its reverse (22201102231121), we get a palindrome (143333303333341).
The spelling of 121132201102220 in words is "one hundred twenty-one trillion, one hundred thirty-two billion, two hundred one million, one hundred two thousand, two hundred twenty".
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