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12101021022020 = 2257671819170919
BaseRepresentation
bin1011000000010111110100…
…0011110011011101000100
31120211211211221221201221112
42300011331003303131010
53041230342340201040
641423044325104152
72356161403355420
oct260057503633504
946754757851845
1012101021022020
113946017991957
121435313558058
1369a1768b9b68
142db99a49db80
1515eb96ae0365
hexb017d0f3744

12101021022020 has 96 divisors (see below), whose sum is σ = 29477955870720. Its totient is φ = 4086714994560.

The previous prime is 12101021022019. The next prime is 12101021022037. The reversal of 12101021022020 is 2022012010121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12101021021986 and 12101021022004.

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, 170596121 + ... + 170667039.

It is an arithmetic number, because the mean of its divisors is an integer number (307062040320).

Almost surely, 212101021022020 is an apocalyptic number.

12101021022020 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 12101021022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14738977935360).

12101021022020 is an abundant number, since it is smaller than the sum of its proper divisors (17376934848700).

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

12101021022020 is a wasteful number, since it uses less digits than its factorization.

12101021022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89193 (or 89191 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12101021022020 its reverse (2022012010121), we get a palindrome (14123033032141).

The spelling of 12101021022020 in words is "twelve trillion, one hundred one billion, twenty-one million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 469 670 938 1340 1876 2345 4690 9380 18191 36382 70919 72764 90955 127337 141838 181910 254674 283676 354595 363820 496433 509348 636685 709190 992866 1218797 1273370 1418380 1985732 2437594 2482165 2546740 4751573 4875188 4964330 6093985 8531579 9503146 9928660 12187970 17063158 19006292 23757865 24375940 33261011 34126316 42657895 47515730 66522022 85315790 95031460 133044044 166305055 170631580 332610110 665220220 1290087529 2580175058 5160350116 6450437645 9030612703 12900875290 18061225406 25801750580 36122450812 45153063515 86435864443 90306127030 172871728886 180612254060 345743457772 432179322215 605051051101 864358644430 1210102102202 1728717288860 2420204204404 3025255255505 6050510511010 12101021022020