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20122010120000 = 26542131236063
BaseRepresentation
bin1001001001101000001010…
…10000111110111101000000
32122020122102111000210102002
410210310011100332331000
510114134334042320000
6110443531314243132
74144524111645305
oct444640520767500
978218374023362
1020122010120000
116458773151058
12230b9445864a8
13b2c660a79809
144d7ca65350ac
1524d64654c8d5
hex124d0543ef40

20122010120000 has 140 divisors (see below), whose sum is σ = 49919671291776. Its totient is φ = 8044992960000.

The previous prime is 20122010119993. The next prime is 20122010120087. The reversal of 20122010120000 is 2101022102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85121969 + ... + 85358031.

Almost surely, 220122010120000 is an apocalyptic number.

20122010120000 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 20122010120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24959835645888).

20122010120000 is an abundant number, since it is smaller than the sum of its proper divisors (29797661171776).

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

20122010120000 is an equidigital number, since it uses as much as digits as its factorization.

20122010120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238226 (or 238201 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20122010120000 its reverse (2101022102), we get a palindrome (20124111142102).

The spelling of 20122010120000 in words is "twenty trillion, one hundred twenty-two billion, ten million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2131 2500 4000 4262 5000 8000 8524 10000 10655 17048 20000 21310 34096 40000 42620 53275 68192 85240 106550 136384 170480 213100 236063 266375 340960 426200 472126 532750 681920 852400 944252 1065500 1180315 1331875 1704800 1888504 2131000 2360630 2663750 3409600 3777008 4262000 4721260 5327500 5901575 7554016 8524000 9442520 10655000 11803150 15108032 17048000 18885040 21310000 23606300 29507875 37770080 42620000 47212600 59015750 75540160 85240000 94425200 118031500 147539375 188850400 236063000 295078750 377700800 472126000 503050253 590157500 944252000 1006100506 1180315000 1888504000 2012201012 2360630000 2515251265 4024402024 4721260000 5030502530 8048804048 9442520000 10061005060 12576256325 16097608096 20122010120 25152512650 32195216192 40244020240 50305025300 62881281625 80488040480 100610050600 125762563250 160976080960 201220101200 251525126500 314406408125 402440202400 503050253000 628812816250 804880404800 1006100506000 1257625632500 2012201012000 2515251265000 4024402024000 5030502530000 10061005060000 20122010120000