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2022120112012 = 22721113411759669
BaseRepresentation
bin11101011011001111110…
…000000011111110001100
321011022110000201222010221
4131123033300003332030
5231112300222041022
64144541003441124
7266044010232400
oct35331760037614
97138400658127
102022120112012
1170a6380a53a0
12287a97b261a4
131188ba24c250
146dc2a579100
15378eee34cc7
hex1d6cfc03f8c

2022120112012 has 144 divisors (see below), whose sum is σ = 4954076376480. Its totient is φ = 709498137600.

The previous prime is 2022120111989. The next prime is 2022120112087. The reversal of 2022120112012 is 2102110212202.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 269314 + ... + 2028982.

It is an arithmetic number, because the mean of its divisors is an integer number (34403308170).

Almost surely, 22022120112012 is an apocalyptic number.

2022120112012 is a gapful number since it is divisible by the number (22) 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 2022120112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477038188240).

2022120112012 is an abundant number, since it is smaller than the sum of its proper divisors (2931956264468).

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

2022120112012 is a wasteful number, since it uses less digits than its factorization.

2022120112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759752 (or 1759743 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2022120112012 its reverse (2102110212202), we get a palindrome (4124230324214).

The spelling of 2022120112012 in words is "two trillion, twenty-two billion, one hundred twenty million, one hundred twelve thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 41 44 49 52 77 82 91 98 143 154 164 182 196 286 287 308 364 451 533 539 572 574 637 902 1001 1066 1078 1148 1274 1804 2002 2009 2132 2156 2548 3157 3731 4004 4018 5863 6314 7007 7462 8036 11726 12628 14014 14924 22099 23452 26117 28028 41041 44198 52234 82082 88396 104468 164164 287287 574574 1149148 1759669 3519338 7038676 12317683 19356359 22875697 24635366 38712718 45751394 49270732 72146429 77425436 86223781 91502788 135494513 144292858 160129879 172447562 251632667 270989026 288585716 320259758 344895124 503265334 505025003 541978052 640519516 793610719 937903577 948461591 1006530668 1010050006 1120909153 1587221438 1761428669 1875807154 1896923182 2020100012 2241818306 3174442876 3522857338 3535175021 3751614308 3793846364 4483636612 5555275033 6565325039 7045714676 7070350042 10316939347 11110550066 12330000683 13130650078 14140700084 20633878694 22221100132 24660001366 26261300156 38886925231 41267757388 45957275273 49320002732 72218575429 77773850462 91914550546 144437150858 155547700924 183829101092 288874301716 505530028003 1011060056006 2022120112012