Search a number
-
+
12122222002121 = 71123101119356807
BaseRepresentation
bin1011000001100110110010…
…1111000111111111001001
31120220212120111100010011202
42300121230233013333021
53042102302313031441
641440512155433545
72360541650622140
oct260315457077711
946825514303152
1012122222002121
113954007327010
12143944b7558b5
1369c1750400ba
142dca0c08c757
151604d7edc19b
hexb066cbc7fc9

12122222002121 has 64 divisors (see below), whose sum is σ = 15940299350016. Its totient is φ = 8938083264000.

The previous prime is 12122222002073. The next prime is 12122222002129. The reversal of 12122222002121 is 12120022222121.

It is not a de Polignac number, because 12122222002121 - 226 = 12122154893257 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12122222002093 and 12122222002102.

It is not an unprimeable number, because it can be changed into a prime (12122222002129) 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, 213364700 + ... + 213421506.

It is an arithmetic number, because the mean of its divisors is an integer number (249067177344).

Almost surely, 212122222002121 is an apocalyptic number.

12122222002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12122222002121 is a deficient number, since it is larger than the sum of its proper divisors (3818077347895).

12122222002121 is a wasteful number, since it uses less digits than its factorization.

12122222002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58142.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12122222002121 its reverse (12120022222121), we get a palindrome (24242244224242).

The spelling of 12122222002121 in words is "twelve trillion, one hundred twenty-two billion, two hundred twenty-two million, two thousand, one hundred twenty-one".

Divisors: 1 7 11 23 77 101 161 253 707 1111 1193 1771 2323 7777 8351 13123 16261 25553 27439 56807 91861 120493 178871 192073 301829 397649 624877 843451 1306561 1325423 2112803 2771339 4374139 5737507 9145927 9277961 14372171 19399373 30484729 40162549 63112577 67770751 100605197 131962661 213393103 441788039 474395257 745478261 923738627 1451589271 1558727273 5218347827 6844845851 10161124897 10911090911 17146000003 47913920957 75293304361 120022000021 157431454573 527053130527 1102020182011 1731746000303 12122222002121