Search a number
-
+
12012003221310 = 23251271377670941
BaseRepresentation
bin1010111011001100001100…
…1011110101111100111110
31120112100002011020220221200
42232303003023311330332
53033301040311040220
641314123232440330
72346560431503561
oct256630313657476
946470064226850
1012012003221310
113911297736714
12142000b6a90a6
1369195b4116c1
142d7553bd84d8
1515c6d6aca890
hexaecc32f5f3e

12012003221310 has 96 divisors (see below), whose sum is σ = 31706887560192. Its totient is φ = 3154781468160.

The previous prime is 12012003221297. The next prime is 12012003221327. The reversal of 12012003221310 is 1312230021021.

12012003221310 is a `hidden beast` number, since 1 + 20 + 12 + 0 + 0 + 322 + 1 + 310 = 666.

It is a super-2 number, since 2×120120032213102 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2269561 + ... + 5401380.

It is an arithmetic number, because the mean of its divisors is an integer number (330280078752).

Almost surely, 212012003221310 is an apocalyptic number.

12012003221310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12012003221310 is an abundant number, since it is smaller than the sum of its proper divisors (19694884338882).

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

12012003221310 is a wasteful number, since it uses less digits than its factorization.

12012003221310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7671218 (or 7671215 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12012003221310 its reverse (1312230021021), we get a palindrome (13324233242331).

The spelling of 12012003221310 in words is "twelve trillion, twelve billion, three million, two hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 137 254 274 381 411 635 685 762 822 1143 1233 1270 1370 1905 2055 2286 2466 3810 4110 5715 6165 11430 12330 17399 34798 52197 86995 104394 156591 173990 260985 313182 521970 782955 1565910 7670941 15341882 23012823 38354705 46025646 69038469 76709410 115064115 138076938 230128230 345192345 690384690 974209507 1050918917 1948419014 2101837834 2922628521 3152756751 4871047535 5254594585 5845257042 6305513502 8767885563 9458270253 9742095070 10509189170 14613142605 15763783755 17535771126 18916540506 29226285210 31527567510 43839427815 47291351265 87678855630 94582702530 133466702459 266933404918 400400107377 667333512295 800800214754 1201200322131 1334667024590 2002000536885 2402400644262 4004001073770 6006001610655 12012003221310