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20222112120 = 2335774332401
BaseRepresentation
bin10010110101010101…
…001111000101111000
31221012022110201210120
4102311111033011320
5312403330041440
613142342013240
71314060055050
oct226525170570
957168421716
1020222112120
118637945161
123b04417220
131ba3704822
14d9b9c2560
157d54e1dd0
hex4b554f178

20222112120 has 128 divisors (see below), whose sum is σ = 69428413440. Its totient is φ = 4615833600.

The previous prime is 20222112101. The next prime is 20222112121. The reversal of 20222112120 is 2121122202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20222112120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20222112121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607920 + ... + 640320.

It is an arithmetic number, because the mean of its divisors is an integer number (542409480).

Almost surely, 220222112120 is an apocalyptic number.

20222112120 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 20222112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34714206720).

20222112120 is an abundant number, since it is smaller than the sum of its proper divisors (49206301320).

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

20222112120 is a wasteful number, since it uses less digits than its factorization.

20222112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33165 (or 33161 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20222112120 its reverse (2121122202), we get a palindrome (22343234322).

The spelling of 20222112120 in words is "twenty billion, two hundred twenty-two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 743 840 1486 2229 2972 3715 4458 5201 5944 7430 8916 10402 11145 14860 15603 17832 20804 22290 26005 29720 31206 32401 41608 44580 52010 62412 64802 78015 89160 97203 104020 124824 129604 156030 162005 194406 208040 226807 259208 312060 324010 388812 453614 486015 624120 648020 680421 777624 907228 972030 1134035 1296040 1360842 1814456 1944060 2268070 2721684 3402105 3888120 4536140 5443368 6804210 9072280 13608420 24073943 27216840 48147886 72221829 96295772 120369715 144443658 168517601 192591544 240739430 288887316 337035202 361109145 481478860 505552803 577774632 674070404 722218290 842588005 962957720 1011105606 1348140808 1444436580 1685176010 2022211212 2527764015 2888873160 3370352020 4044422424 5055528030 6740704040 10111056060 20222112120