Search a number
-
+
12122100010212 = 22329152981227699
BaseRepresentation
bin1011000001100110010101…
…1101110000110011100100
31120220212020222210021201220
42300121211131300303210
53042102030100311322
641440452121020340
72360535636663453
oct260314535606344
946825228707656
1012122100010212
113953a54484755
1214394169246b0
1369c15599963a
142dc9d9bb4b9a
151604cc44155c
hexb0665770ce4

12122100010212 has 48 divisors (see below), whose sum is σ = 29260561176000. Its totient is φ = 3901322884480.

The previous prime is 12122100010117. The next prime is 12122100010249. The reversal of 12122100010212 is 21201000122121.

It is a junction number, because it is equal to n+sod(n) for n = 12122100010191 and 12122100010200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53123539 + ... + 53351237.

It is an arithmetic number, because the mean of its divisors is an integer number (609595024500).

Almost surely, 212122100010212 is an apocalyptic number.

12122100010212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122100010212 is an abundant number, since it is smaller than the sum of its proper divisors (17138461165788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12122100010212 is a wasteful number, since it uses less digits than its factorization.

12122100010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380716 (or 380714 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12122100010212 its reverse (21201000122121), we get a palindrome (33323100132333).

The spelling of 12122100010212 in words is "twelve trillion, one hundred twenty-two billion, one hundred million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 152981 227699 305962 455398 458943 611924 683097 910796 917886 1366194 1835772 2732388 4436449 6603271 8872898 13206542 13309347 17745796 19809813 26413084 26618694 39619626 53237388 79239252 34833620719 69667241438 104500862157 139334482876 209001724314 418003448628 1010175000851 2020350001702 3030525002553 4040700003404 6061050005106 12122100010212