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12002222001220 = 22511298921137371
BaseRepresentation
bin1010111010100111110000…
…1011011100110001000100
31120111101211111011110102221
42232221330023130301010
53033121022313014340
641305424503142124
72346063151504123
oct256517413346104
946441744143387
1012002222001220
113908128471250
12141a13ba44944
13690a5cb554c9
142d6ca6b45aba
1515c31303644a
hexaea7c2dcc44

12002222001220 has 96 divisors (see below), whose sum is σ = 28763735817600. Its totient is φ = 4166598374400.

The previous prime is 12002222001173. The next prime is 12002222001233. The reversal of 12002222001220 is 2210022220021.

12002222001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12002222001194 and 12002222001203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10000866 + ... + 11136505.

It is an arithmetic number, because the mean of its divisors is an integer number (299622248100).

Almost surely, 212002222001220 is an apocalyptic number.

12002222001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002222001220 is an abundant number, since it is smaller than the sum of its proper divisors (16761513816380).

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

12002222001220 is a wasteful number, since it uses less digits than its factorization.

12002222001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21137509 (or 21137507 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12002222001220 its reverse (2210022220021), we get a palindrome (14212244221241).

The spelling of 12002222001220 in words is "twelve trillion, two billion, two hundred twenty-two million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 89 110 116 145 178 220 290 319 356 445 580 638 890 979 1276 1595 1780 1958 2581 3190 3916 4895 5162 6380 9790 10324 12905 19580 25810 28391 51620 56782 113564 141955 283910 567820 21137371 42274742 84549484 105686855 211373710 232511081 422747420 465022162 612983759 930044324 1162555405 1225967518 1881226019 2325110810 2451935036 3064918795 3762452038 4650221620 6129837590 6742821349 7524904076 9406130095 12259675180 13485642698 18812260190 20693486209 26971285396 33714106745 37624520380 41386972418 54555554551 67428213490 82773944836 103467431045 109111109102 134856426980 206934862090 218222218204 272777772755 413869724180 545555545510 600111100061 1091111091020 1200222200122 2400444400244 3000555500305 6001111000610 12002222001220