Search a number
-
+
12022202210232 = 23341229144736871
BaseRepresentation
bin1010111011110010001100…
…0101111001011110111000
31120120022101221110020120010
42232330203011321132320
53033432432231211412
641322531244301520
72350401243462264
oct256744305713670
946508357406503
1012022202210232
113915650802a85
121421b972418a0
136928c53c0ba6
142d7c405590a4
1515cad219333c
hexaef231797b8

12022202210232 has 128 divisors (see below), whose sum is σ = 30945224217600. Its totient is φ = 3889790899200.

The previous prime is 12022202210171. The next prime is 12022202210243. The reversal of 12022202210232 is 23201220222021.

It is a junction number, because it is equal to n+sod(n) for n = 12022202210199 and 12022202210208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326042757 + ... + 326079627.

It is an arithmetic number, because the mean of its divisors is an integer number (241759564200).

Almost surely, 212022202210232 is an apocalyptic number.

12022202210232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022202210232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15472612108800).

12022202210232 is an abundant number, since it is smaller than the sum of its proper divisors (18923022007368).

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

12022202210232 is a wasteful number, since it uses less digits than its factorization.

12022202210232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38597 (or 38593 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12022202210232 its reverse (23201220222021), we get a palindrome (35223422432253).

The spelling of 12022202210232 in words is "twelve trillion, twenty-two billion, two hundred two million, two hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 229 246 328 458 492 687 916 984 1374 1447 1832 2748 2894 4341 5496 5788 8682 9389 11576 17364 18778 28167 34728 36871 37556 56334 59327 73742 75112 110613 112668 118654 147484 177981 221226 225336 237308 294968 331363 355962 442452 474616 662726 711924 884904 994089 1325452 1423848 1511711 1988178 2650904 3023422 3976356 4535133 6046844 7952712 8443459 9070266 12093688 13585883 16886918 18140532 25330377 27171766 33773836 36281064 40757649 50660754 53352337 54343532 67547672 81515298 101321508 106704674 108687064 160057011 163030596 202643016 213409348 320114022 326061192 346181819 426818696 640228044 692363638 1038545457 1280456088 1384727276 2077090914 2187445817 2769454552 4154181828 4374891634 6562337451 8308363656 8749783268 12217685173 13124674902 17499566536 24435370346 26249349804 36653055519 48870740692 52498699608 73306111038 97741481384 146612222076 293224444152 500925092093 1001850184186 1502775276279 2003700368372 3005550552558 4007400736744 6011101105116 12022202210232