Search a number
-
+
12121213230021 = 3711324191923063
BaseRepresentation
bin1011000001100011000010…
…0110111101101111000101
31120220202222012011012000010
42300120300212331233011
53042043221041330041
641440224122140433
72360504651324460
oct260306046755705
946822865135003
1012121213230021
113953639961665
121439209951719
1369c04405122c
142dc9540da2d7
15160479676a16
hexb06309bdbc5

12121213230021 has 64 divisors (see below), whose sum is σ = 18732366766080. Its totient is φ = 6828890664960.

The previous prime is 12121213229959. The next prime is 12121213230041. The reversal of 12121213230021 is 12003231212121.

12121213230021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12121213230021 - 210 = 12121213228997 is a prime.

It is a super-2 number, since 2×121212132300212 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12121213230021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121213230041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 525558136 + ... + 525581198.

It is an arithmetic number, because the mean of its divisors is an integer number (292693230720).

Almost surely, 212121213230021 is an apocalyptic number.

It is an amenable number.

12121213230021 is a deficient number, since it is larger than the sum of its proper divisors (6611153536059).

12121213230021 is a wasteful number, since it uses less digits than its factorization.

12121213230021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24346.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 12121213230021 its reverse (12003231212121), we get a palindrome (24124444442142).

The spelling of 12121213230021 in words is "twelve trillion, one hundred twenty-one billion, two hundred thirteen million, two hundred thirty thousand, twenty-one".

Divisors: 1 3 7 21 113 241 339 723 791 919 1687 2373 2757 5061 6433 19299 23063 27233 69189 81699 103847 161441 190631 221479 311541 484323 571893 664437 726929 1550353 2180787 2606119 4651059 5558183 7818357 16674549 18242833 21194897 25027127 38907281 54728499 63584691 75081381 116721843 148364279 175189889 445092837 525569667 628074679 1884224037 2395023361 4396522753 5107970177 7185070083 13189568259 15323910531 16765163527 35755791239 50295490581 107267373717 577200630001 1731601890003 4040404410007 12121213230021