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12021022020 = 22357210140483
BaseRepresentation
bin10110011001000001…
…00011110101000100
31011000202200012010210
423030200203311010
5144104340201040
65304500115420
7603615000300
oct131440436504
934022605123
1012021022020
11510960a847
1223b5995b70
1311976151a7
14820730d00
154a5524480
hex2cc823d44

12021022020 has 144 divisors (see below), whose sum is σ = 39542827968. Its totient is φ = 2720390400.

The previous prime is 12021022009. The next prime is 12021022043. The reversal of 12021022020 is 2022012021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12021021987 and 12021022005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276699 + ... + 317181.

It is an arithmetic number, because the mean of its divisors is an integer number (274602972).

Almost surely, 212021022020 is an apocalyptic number.

12021022020 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 12021022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19771413984).

12021022020 is an abundant number, since it is smaller than the sum of its proper divisors (27521805948).

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

12021022020 is a wasteful number, since it uses less digits than its factorization.

12021022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40610 (or 40601 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12021022020 its reverse (2022012021), we get a palindrome (14043034041).

Subtracting from 12021022020 its reverse (2022012021), we obtain a palindrome (9999009999).

The spelling of 12021022020 in words is "twelve billion, twenty-one million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 101 105 140 147 196 202 210 245 294 303 404 420 490 505 588 606 707 735 980 1010 1212 1414 1470 1515 2020 2121 2828 2940 3030 3535 4242 4949 6060 7070 8484 9898 10605 14140 14847 19796 21210 24745 29694 40483 42420 49490 59388 74235 80966 98980 121449 148470 161932 202415 242898 283381 296940 404830 485796 566762 607245 809660 850143 1133524 1214490 1416905 1700286 1983667 2428980 2833810 3400572 3967334 4088783 4250715 5667620 5951001 7934668 8177566 8501430 9918335 11902002 12266349 16355132 17002860 19836670 20443915 23804004 24532698 28621481 29755005 39673340 40887830 49065396 57242962 59510010 61331745 81775660 85864443 114485924 119020020 122663490 143107405 171728886 200350367 245326980 286214810 343457772 400700734 429322215 572429620 601051101 801401468 858644430 1001751835 1202102202 1717288860 2003503670 2404204404 3005255505 4007007340 6010511010 12021022020