Base | Representation |
---|---|
bin | 11011101111010111011001… |
… | …110111010111010001110101 |
3 | 120222222022000011121001010200 |
4 | 123233113121313113101311 |
5 | 111442341002002241041 |
6 | 1111251012033311113 |
7 | 34461240164530044 |
oct | 3357273167272165 |
9 | 528868004531120 |
10 | 122002201212021 |
11 | 3596792aaa2189 |
12 | 11824a16405499 |
13 | 530c9b1a28260 |
14 | 221ad1bdd455b |
15 | e188559de1b6 |
hex | 6ef5d9dd7475 |
122002201212021 has 48 divisors (see below), whose sum is σ = 191332905879024. Its totient is φ = 74466133926912.
The previous prime is 122002201212013. The next prime is 122002201212037. The reversal of 122002201212021 is 120212102200221.
It is a happy number.
122002201212021 is a `hidden beast` number, since 1 + 220 + 0 + 220 + 1 + 21 + 202 + 1 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 6037409208996 + 115964792003025 = 2457114^2 + 10768695^2 .
It is not a de Polignac number, because 122002201212021 - 23 = 122002201212013 is a prime.
It is a super-2 number, since 2×1220022012120212 (a number of 29 digits) contains 22 as substring.
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 122002201211985 and 122002201212003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122002201212061) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (31) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4269465 + ... + 16193601.
It is an arithmetic number, because the mean of its divisors is an integer number (3986102205813).
Almost surely, 2122002201212021 is an apocalyptic number.
It is an amenable number.
122002201212021 is a deficient number, since it is larger than the sum of its proper divisors (69330704667003).
122002201212021 is a wasteful number, since it uses less digits than its factorization.
122002201212021 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11924870 (or 11924867 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 122002201212021 its reverse (120212102200221), we get a palindrome (242214303412242).
The spelling of 122002201212021 in words is "one hundred twenty-two trillion, two billion, two hundred one million, two hundred twelve thousand, twenty-one".
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