Search a number
-
+
123202212012 = 2232111961726539
BaseRepresentation
bin111001010111101101…
…1001001000010101100
3102210000011200211120100
41302233123021002230
54004304231241022
6132333122551100
711621031344325
oct1625733110254
9383004624510
10123202212012
1148282489430
121ba64208490
13b80574b989
145d6a74944c
15331118e1ac
hex1caf6c90ac

123202212012 has 144 divisors (see below), whose sum is σ = 358213564800. Its totient is φ = 35310401280.

The previous prime is 123202211971. The next prime is 123202212017. The reversal of 123202212012 is 210212202321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (123202212017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4629039 + ... + 4655577.

It is an arithmetic number, because the mean of its divisors is an integer number (2487594200).

Almost surely, 2123202212012 is an apocalyptic number.

123202212012 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 123202212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179106782400).

123202212012 is an abundant number, since it is smaller than the sum of its proper divisors (235011352788).

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

123202212012 is a wasteful number, since it uses less digits than its factorization.

123202212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27196 (or 27191 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 123202212012 its reverse (210212202321), we get a palindrome (333414414333).

The spelling of 123202212012 in words is "one hundred twenty-three billion, two hundred two million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 617 627 684 836 1234 1254 1851 1881 2468 2508 3702 3762 5553 6787 7404 7524 11106 11723 13574 20361 22212 23446 26539 27148 35169 40722 46892 53078 61083 70338 79617 81444 105507 106156 122166 128953 140676 159234 211014 238851 244332 257906 291929 318468 386859 422028 477702 504241 515812 583858 773718 875787 955404 1008482 1160577 1167716 1512723 1547436 1751574 2016964 2321154 2627361 3025446 3503148 4538169 4642308 5254722 5546651 6050892 9076338 10509444 11093302 16374563 16639953 18152676 22186604 32749126 33279906 49123689 49919859 65498252 66559812 98247378 99839718 147371067 180120193 196494756 199679436 294742134 311116697 360240386 540360579 589484268 622233394 720480772 933350091 1080721158 1244466788 1621081737 1866700182 2161442316 2800050273 3242163474 3422283667 3733400364 5600100546 6484326948 6844567334 10266851001 11200201092 13689134668 20533702002 30800553003 41067404004 61601106006 123202212012