Search a number
-
+
12011020220332 = 22717313041267667
BaseRepresentation
bin1010111011001000100010…
…0101111111011110101100
31120112020112122120022010001
42232302020211333132230
53033242032134022312
641313441515354044
72346524164232530
oct256621045773654
946466478508101
1012011020220332
113910932873511
12141b996452924
13691832876a13
142d749d433bc0
1515c67a656057
hexaec8897f7ac

12011020220332 has 96 divisors (see below), whose sum is σ = 26264320782336. Its totient is φ = 4686938726400.

The previous prime is 12011020220263. The next prime is 12011020220333. The reversal of 12011020220332 is 23302202011021.

It is not an unprimeable number, because it can be changed into a prime (12011020220333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44739163 + ... + 45006829.

It is an arithmetic number, because the mean of its divisors is an integer number (273586674816).

Almost surely, 212011020220332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011020220332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13132160391168).

12011020220332 is an abundant number, since it is smaller than the sum of its proper divisors (14253300562004).

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

12011020220332 is a wasteful number, since it uses less digits than its factorization.

12011020220332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270767 (or 270765 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 12011020220332 its reverse (23302202011021), we get a palindrome (35313222231353).

The spelling of 12011020220332 in words is "twelve trillion, eleven billion, twenty million, two hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 31 34 62 68 119 124 217 238 434 476 527 868 1054 2108 3041 3689 6082 7378 12164 14756 21287 42574 51697 85148 94271 103394 188542 206788 267667 361879 377084 535334 659897 723758 1070668 1319794 1447516 1602607 1873669 2639588 3205214 3747338 4550339 6410428 7494676 8297677 9100678 11218249 16595354 18201356 22436498 31852373 33190708 44872996 58083739 63704746 116167478 127409492 141060509 232334956 282121018 564242036 813975347 987423563 1627950694 1974847126 3255901388 3949694252 5697827429 11395654858 13837580899 22791309716 25233235757 27675161798 50466471514 55350323596 96863066293 100932943028 176632650299 193726132586 353265300598 387452265172 428965007869 706530601196 857930015738 1715860031476 3002755055083 6005510110166 12011020220332