Search a number
-
+
12010123212 = 223171928111027
BaseRepresentation
bin10110010111101101…
…11110111111001100
31011000000011110210020
423023312332333030
5144044042420322
65303430342140
7603423235323
oct131366767714
934000143706
1012010123212
11510344636a
1223b21ba950
13119529a4a9
1481d0d50ba
154a45c005c
hex2cbdbefcc

12010123212 has 96 divisors (see below), whose sum is σ = 31347751680. Its totient is φ = 3556546560.

The previous prime is 12010123207. The next prime is 12010123217. The reversal of 12010123212 is 21232101021.

It is an interprime number because it is at equal distance from previous prime (12010123207) and next prime (12010123217).

It is a junction number, because it is equal to n+sod(n) for n = 12010123191 and 12010123200.

It is not an unprimeable number, because it can be changed into a prime (12010123217) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1083643 + ... + 1094669.

It is an arithmetic number, because the mean of its divisors is an integer number (326539080).

Almost surely, 212010123212 is an apocalyptic number.

12010123212 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 12010123212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15673875840).

12010123212 is an abundant number, since it is smaller than the sum of its proper divisors (19337628468).

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

12010123212 is a wasteful number, since it uses less digits than its factorization.

12010123212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11351 (or 11349 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12010123212 its reverse (21232101021), we get a palindrome (33242224233).

The spelling of 12010123212 in words is "twelve billion, ten million, one hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 281 323 562 646 843 969 1124 1292 1686 1938 3372 3876 4777 5339 9554 10678 11027 14331 16017 19108 21356 22054 28662 32034 33081 44108 57324 64068 66162 90763 132324 181526 187459 209513 272289 363052 374918 419026 544578 562377 628539 749836 838052 1089156 1124754 1257078 2249508 2514156 3098587 3561721 6197174 7123442 9295761 10685163 12394348 14246884 18591522 21370326 37183044 42740652 52675979 58873153 105351958 117746306 158027937 176619459 210703916 235492612 316055874 353238918 632111748 706477836 1000843601 2001687202 3002530803 4003374404 6005061606 12010123212