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22051520120120 = 235171009101331727
BaseRepresentation
bin1010000001110010001010…
…00001100000010100111000
32220002002211100111122000212
411000321011001200110320
510342243003122320440
6114522154542050252
74434112140226541
oct500710501402470
986062740448025
1022051520120120
117031aa7253697
122581895579988
13c3c5ac50308a
1456342929b4c8
15283925dc9465
hex140e45060538

22051520120120 has 128 divisors (see below), whose sum is σ = 52640140550400. Its totient is φ = 8285072818176.

The previous prime is 22051520120117. The next prime is 22051520120159. The reversal of 22051520120120 is 2102102515022.

It is a congruent number.

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, 695023697 + ... + 695055423.

It is an arithmetic number, because the mean of its divisors is an integer number (411251098050).

Almost surely, 222051520120120 is an apocalyptic number.

22051520120120 is a gapful number since it is divisible by the number (20) 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 22051520120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26320070275200).

22051520120120 is an abundant number, since it is smaller than the sum of its proper divisors (30588620430280).

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

22051520120120 is a wasteful number, since it uses less digits than its factorization.

22051520120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33777 (or 33773 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 22051520120120 its reverse (2102102515022), we get a palindrome (24153622635142).

The spelling of 22051520120120 in words is "twenty-two trillion, fifty-one billion, five hundred twenty million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1009 1013 2018 2026 4036 4052 5045 5065 8072 8104 10090 10130 17153 17221 20180 20260 31727 34306 34442 40360 40520 63454 68612 68884 85765 86105 126908 137224 137768 158635 171530 172210 253816 317270 343060 344420 539359 634540 686120 688840 1022117 1078718 1269080 2044234 2157436 2696795 4088468 4314872 5110585 5393590 8176936 10221170 10787180 17375989 20442340 21574360 32012543 32139451 34751978 40884680 64025086 64278902 69503956 86879945 128050172 128557804 139007912 160062715 160697255 173759890 256100344 257115608 320125430 321394510 347519780 544213231 546370667 640250860 642789020 695039560 1088426462 1092741334 1280501720 1285578040 2176852924 2185482668 2721066155 2731853335 4353705848 4370965336 5442132310 5463706670 10884264620 10927413340 21768529240 21854826680 32428706059 64857412118 129714824236 162143530295 259429648472 324287060590 551288003003 648574121180 1102576006006 1297148242360 2205152012012 2756440015015 4410304024024 5512880030030 11025760060060 22051520120120