Search a number
-
+
12222112322100 = 22352197206803931
BaseRepresentation
bin1011000111011010111010…
…1010011101001000110100
31121021102102000121010201110
42301312232222131020310
53100221341223301400
641554432203555020
72401006223420622
oct261665652351064
947242360533643
1012222112322100
11399240685996a
12145488882ba70
136a8703bca005
143037a671c512
15162dd27ade50
hexb1daea9d234

12222112322100 has 72 divisors (see below), whose sum is σ = 35542150969248. Its totient is φ = 3242685622400.

The previous prime is 12222112322071. The next prime is 12222112322113. The reversal of 12222112322100 is 122321122221.

It is a super-2 number, since 2×122221123221002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 103342866 + ... + 103461065.

It is an arithmetic number, because the mean of its divisors is an integer number (493640985684).

Almost surely, 212222112322100 is an apocalyptic number.

12222112322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12222112322100 is an abundant number, since it is smaller than the sum of its proper divisors (23320038647148).

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

12222112322100 is a wasteful number, since it uses less digits than its factorization.

12222112322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206804145 (or 206804138 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12222112322100 its reverse (122321122221), we get a palindrome (12344433444321).

The spelling of 12222112322100 in words is "twelve trillion, two hundred twenty-two billion, one hundred twelve million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 197 300 394 591 788 985 1182 1970 2364 2955 3940 4925 5910 9850 11820 14775 19700 29550 59100 206803931 413607862 620411793 827215724 1034019655 1240823586 2068039310 2481647172 3102058965 4136078620 5170098275 6204117930 10340196550 12408235860 15510294825 20680393100 31020589650 40740374407 62041179300 81480748814 122221123221 162961497628 203701872035 244442246442 407403744070 488884492884 611105616105 814807488140 1018509360175 1222211232210 2037018720350 2444422464420 3055528080525 4074037440700 6111056161050 12222112322100