Search a number
-
+
12010112022012 = 223133117314355379
BaseRepresentation
bin1010111011000101001001…
…1101011111010111111100
31120112011012100122001020020
42232301102131133113330
53033233202134201022
641313211433452140
72346462525540156
oct256612235372774
946464170561206
1012010112022012
113910507151695
12141b782271050
1369171966c870
142d7414981ad6
1515c625a5a35c
hexaec5275f5fc

12010112022012 has 96 divisors (see below), whose sum is σ = 31332856289280. Its totient is φ = 3555540023040.

The previous prime is 12010112021987. The next prime is 12010112022031. The reversal of 12010112022012 is 21022021101021.

It is a junction number, because it is equal to n+sod(n) for n = 12010112021982 and 12010112022000.

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, 6341062 + ... + 8014317.

It is an arithmetic number, because the mean of its divisors is an integer number (326383919680).

Almost surely, 212010112022012 is an apocalyptic number.

12010112022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12010112022012 is an abundant number, since it is smaller than the sum of its proper divisors (19322744267268).

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

12010112022012 is a wasteful number, since it uses less digits than its factorization.

12010112022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14355603 (or 14355601 counting only the distinct ones).

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

Adding to 12010112022012 its reverse (21022021101021), we get a palindrome (33032133123033).

The spelling of 12010112022012 in words is "twelve trillion, ten billion, one hundred twelve million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 173 186 346 372 403 519 692 806 1038 1209 1612 2076 2249 2418 4498 4836 5363 6747 8996 10726 13494 16089 21452 26988 32178 64356 69719 139438 209157 278876 418314 836628 14355379 28710758 43066137 57421516 86132274 172264548 186619927 373239854 445016749 559859781 746479708 890033498 1119719562 1335050247 1780066996 2239439124 2483480567 2670100494 4966961134 5340200988 5785217737 7450441701 9933922268 11570435474 14900883402 17355653211 23140870948 29801766804 32285247371 34711306422 64570494742 69422612844 76987897577 96855742113 129140989484 153975795154 193711484226 230963692731 307951590308 387422968452 461927385462 923854770924 1000842668501 2001685337002 3002528005503 4003370674004 6005056011006 12010112022012