Search a number
-
+
12122212121211 = 318137361439743
BaseRepresentation
bin1011000001100110110000…
…1001011011101001111011
31120220212112210202010010010
42300121230021123221323
53042102242300334321
641440511203553003
72360541500626623
oct260315411335173
946825483663103
1012122212121211
113954001798375
12143944838b763
1369c172c907ca
142dca0aa39883
151604d71d9676
hexb066c25ba7b

12122212121211 has 32 divisors (see below), whose sum is σ = 16300144852992. Its totient is φ = 8013151946880.

The previous prime is 12122212121147. The next prime is 12122212121281. The reversal of 12122212121211 is 11212121222121.

It is not a de Polignac number, because 12122212121211 - 26 = 12122212121147 is a prime.

It is a super-2 number, since 2×121222121212112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12122212121281) 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 31 ways as a sum of consecutive naturals, for example, 1244192206 + ... + 1244201948.

It is an arithmetic number, because the mean of its divisors is an integer number (509379526656).

Almost surely, 212122212121211 is an apocalyptic number.

12122212121211 is a deficient number, since it is larger than the sum of its proper divisors (4177932731781).

12122212121211 is a wasteful number, since it uses less digits than its factorization.

12122212121211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16443.

The product of its digits is 128, while the sum is 21.

Adding to 12122212121211 its reverse (11212121222121), we get a palindrome (23334333343332).

The spelling of 12122212121211 in words is "twelve trillion, one hundred twenty-two billion, two hundred twelve million, one hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 181 373 543 1119 6143 9743 18429 29229 67513 202539 1111883 1763483 2291339 3335649 3634139 5290449 6874017 10902417 59851249 179553747 414732359 657779159 1244197077 1973337477 10833076069 22324515877 32499228207 66973547631 4040737373737 12122212121211