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12122221020 = 22357132220187
BaseRepresentation
bin10110100101000101…
…00110100111011100
31011021211002122001220
423102202212213130
5144311242033040
65322513133340
7606254115150
oct132242464734
934254078056
1012122221020
115160750088
12242385a250
1311b2588660
1482dd55060
154ae3642d0
hex2d28a69dc

12122221020 has 96 divisors (see below), whose sum is σ = 41775057408. Its totient is φ = 2557654272.

The previous prime is 12122220973. The next prime is 12122221037. The reversal of 12122221020 is 2012222121.

12122221020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1104634 + ... + 1115553.

It is an arithmetic number, because the mean of its divisors is an integer number (435156848).

Almost surely, 212122221020 is an apocalyptic number.

12122221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122221020 is an abundant number, since it is smaller than the sum of its proper divisors (29652836388).

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

12122221020 is a wasteful number, since it uses less digits than its factorization.

12122221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220219 (or 2220217 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12122221020 its reverse (2012222121), we get a palindrome (14134443141).

The spelling of 12122221020 in words is "twelve billion, one hundred twenty-two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 2220187 4440374 6660561 8880748 11100935 13321122 15541309 22201870 26642244 28862431 31082618 33302805 44403740 46623927 57724862 62165236 66605610 77706545 86587293 93247854 115449724 133211220 144312155 155413090 173174586 186495708 202037017 233119635 288624310 310826180 346349172 404074034 432936465 466239270 577248620 606111051 808148068 865872930 932478540 1010185085 1212222102 1731745860 2020370170 2424444204 3030555255 4040740340 6061110510 12122221020