Search a number
-
+
20121202020121 = 417165325034229
BaseRepresentation
bin1001001001100110101010…
…00110010100111100011001
32122020120100011110001202221
410210303111012110330121
510114131210204120441
6110443315210024041
74144465100135056
oct444632506247431
978216304401687
1020121202020121
116458398a88714
12230b759a18021
13b2c56251bbc7
144d7c2b09c02d
1524d5ea6258d1
hex124cd5194f19

20121202020121 has 32 divisors (see below), whose sum is σ = 20947597816320. Its totient is φ = 19312029273600.

The previous prime is 20121202020119. The next prime is 20121202020131. The reversal of 20121202020121 is 12102020212102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 20121202020121 - 21 = 20121202020119 is a prime.

It is a super-2 number, since 2×201212020201212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20121202020095 and 20121202020104.

It is not an unprimeable number, because it can be changed into a prime (20121202020131) 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, 4757908035 + ... + 4757912263.

It is an arithmetic number, because the mean of its divisors is an integer number (654612431760).

Almost surely, 220121202020121 is an apocalyptic number.

It is an amenable number.

20121202020121 is a deficient number, since it is larger than the sum of its proper divisors (826395796199).

20121202020121 is a wasteful number, since it uses less digits than its factorization.

20121202020121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7497.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20121202020121 its reverse (12102020212102), we get a palindrome (32223222232223).

The spelling of 20121202020121 in words is "twenty trillion, one hundred twenty-one billion, two hundred two million, twenty thousand, one hundred twenty-one".

Divisors: 1 41 71 653 2503 2911 4229 26773 46363 102623 173389 177713 300259 1634459 1900883 2761537 7286233 10585187 12310619 67012819 113223017 116046589 196069127 433992667 751548277 4757910149 6912127111 8038834207 30813479357 283397211551 490761024881 20121202020121