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12222212121020 = 22511295473502207
BaseRepresentation
bin1011000111011011010010…
…0111001010000110111100
31121021102122222101110002202
42301312310213022012330
53100222042300333040
641554450131011032
72401011544614566
oct261666447120674
947242588343082
1012222212121020
113992458123310
1214548b6139a78
136a871b7a0125
143037b5a9a336
15162ddb424015
hexb1db49ca1bc

12222212121020 has 96 divisors (see below), whose sum is σ = 29018454958080. Its totient is φ = 4283338026240.

The previous prime is 12222212120917. The next prime is 12222212121047. The reversal of 12222212121020 is 2012121222221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12222212120983 and 12222212121001.

It is a congruent number.

It is an unprimeable number.

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, 1738757 + ... + 5240963.

It is an arithmetic number, because the mean of its divisors is an integer number (302275572480).

Almost surely, 212222212121020 is an apocalyptic number.

12222212121020 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 12222212121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14509227479040).

12222212121020 is an abundant number, since it is smaller than the sum of its proper divisors (16796242837060).

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

12222212121020 is a wasteful number, since it uses less digits than its factorization.

12222212121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502803 (or 3502801 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 12222212121020 its reverse (2012121222221), we get a palindrome (14234333343241).

The spelling of 12222212121020 in words is "twelve trillion, two hundred twenty-two billion, two hundred twelve million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 547 580 638 1094 1276 1595 2188 2735 3190 5470 6017 6380 10940 12034 15863 24068 30085 31726 60170 63452 79315 120340 158630 174493 317260 348986 697972 872465 1744930 3489860 3502207 7004414 14008828 17511035 35022070 38524277 70044140 77048554 101564003 154097108 192621385 203128006 385242770 406256012 507820015 770485540 1015640030 1117204033 1915707229 2031280060 2234408066 3831414458 4468816132 5586020165 7662828916 9578536145 11172040330 19157072290 21072779519 22344080660 38314144580 42145559038 55555509641 84291118076 105363897595 111111019282 210727795190 222222038564 277777548205 421455590380 555555096410 611110606051 1111110192820 1222221212102 2444442424204 3055553030255 6111106060510 12222212121020