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12212122100010 = 2357173739914887
BaseRepresentation
bin1011000110110101101100…
…1100110010000100101010
31121020110121210020021100220
42301231123030302010222
53100040411224200020
641550101010510510
72400203525061660
oct261553314620452
947213553207326
1012212122100010
11398914a613178
12145295ab95436
136a77a12542b1
143030d99c2c30
151629ea6d3240
hexb1b5b33212a

12212122100010 has 128 divisors (see below), whose sum is σ = 35475989852160. Its totient is φ = 2626440090624.

The previous prime is 12212122099997. The next prime is 12212122100021. The reversal of 12212122100010 is 1000122121221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12890787 + ... + 13805673.

It is an arithmetic number, because the mean of its divisors is an integer number (277156170720).

Almost surely, 212212122100010 is an apocalyptic number.

12212122100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212122100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17737994926080).

12212122100010 is an abundant number, since it is smaller than the sum of its proper divisors (23263867752150).

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

12212122100010 is a wasteful number, since it uses less digits than its factorization.

12212122100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918660.

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

Adding to 12212122100010 its reverse (1000122121221), we get a palindrome (13212244221231).

The spelling of 12212122100010 in words is "twelve trillion, two hundred twelve billion, one hundred twenty-two million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 3570 3739 7478 11217 18695 22434 26173 37390 52346 56085 63563 78519 112170 127126 130865 157038 190689 261730 317815 381378 392595 444941 635630 785190 889882 914887 953445 1334823 1829774 1906890 2224705 2669646 2744661 4449410 4574435 5489322 6404209 6674115 9148870 12808418 13348230 13723305 15553079 19212627 27446610 31106158 32021045 38425254 46659237 64042090 77765395 93318474 96063135 108871553 155530790 192126270 217743106 233296185 326614659 466592370 544357765 653229318 1088715530 1633073295 3266146590 3420762493 6841524986 10262287479 17103812465 20524574958 23945337451 34207624930 47890674902 51311437395 58152962381 71836012353 102622874790 116305924762 119726687255 143672024706 174458887143 239453374510 290764811905 348917774286 359180061765 407070736667 581529623810 718360123530 814141473334 872294435715 1221212210001 1744588871430 2035353683335 2442424420002 4070707366670 6106061050005 12212122100010