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12001220011220 = 22511151565963839
BaseRepresentation
bin1010111010100100000001…
…1101001010010011010100
31120111022020122202002120012
42232221000131022103110
53033111444310324340
641305141231055352
72346026263644356
oct256510035122324
946438218662505
1012001220011220
113907763909340
121419b00371558
1369093039c60b
142d6c0da3b0d6
1515c2a50b0565
hexaea4074a4d4

12001220011220 has 96 divisors (see below), whose sum is σ = 27681105715200. Its totient is φ = 4334344848000.

The previous prime is 12001220011217. The next prime is 12001220011243. The reversal of 12001220011220 is 2211002210021.

It is a junction number, because it is equal to n+sod(n) for n = 12001220011195 and 12001220011204.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 187960061 + ... + 188023899.

It is an arithmetic number, because the mean of its divisors is an integer number (288344851200).

Almost surely, 212001220011220 is an apocalyptic number.

12001220011220 is a gapful number since it is divisible by the number (10) 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 12001220011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13840552857600).

12001220011220 is an abundant number, since it is smaller than the sum of its proper divisors (15679885703980).

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

12001220011220 is a wasteful number, since it uses less digits than its factorization.

12001220011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69669 (or 69667 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12001220011220 its reverse (2211002210021), we get a palindrome (14212222221241).

The spelling of 12001220011220 in words is "twelve trillion, one billion, two hundred twenty million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 755 1510 1661 3020 3322 5659 6644 8305 11318 16610 22636 28295 33220 56590 62249 63839 113180 124498 127678 248996 255356 311245 319195 622490 638390 702229 854509 1244980 1276780 1404458 1709018 2808916 3418036 3511145 4272545 7022290 8545090 9399599 9639689 14044580 17090180 18799198 19279378 37598396 38558756 46997995 48198445 93995990 96396890 106036579 187991980 192793780 212073158 361264901 424146316 530182895 722529802 1060365790 1445059604 1806324505 2120731580 3612649010 3973913911 7225298020 7947827822 15895655644 19869569555 39739139110 54551000051 79478278220 109102000102 218204000204 272755000255 545510000510 600061000561 1091020001020 1200122001122 2400244002244 3000305002805 6000610005610 12001220011220