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112020120200120 = 235113118114534853
BaseRepresentation
bin11001011110000110110111…
…011110001110001110111000
3112200122000111210002200220012
4121132012313132032032320
5104140314201232400440
61034125155514321052
732411121002065316
oct3136066736161670
9480560453080805
10112020120200120
1132769514549140
12106922bb729188
134a675b50a7492
141d93b34a450b6
15ce3d78ca0e65
hex65e1b778e3b8

112020120200120 has 128 divisors (see below), whose sum is σ = 283984892282880. Its totient is φ = 39398794176000.

The previous prime is 112020120199997. The next prime is 112020120200129. The reversal of 112020120200120 is 21002021020211.

It is a junction number, because it is equal to n+sod(n) for n = 112020120200095 and 112020120200104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112020120200129) 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, 22434614 + ... + 26969466.

It is an arithmetic number, because the mean of its divisors is an integer number (2218631970960).

Almost surely, 2112020120200120 is an apocalyptic number.

112020120200120 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 112020120200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141992446141440).

112020120200120 is an abundant number, since it is smaller than the sum of its proper divisors (171964772082760).

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

112020120200120 is a wasteful number, since it uses less digits than its factorization.

112020120200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4536717 (or 4536713 counting only the distinct ones).

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

Adding to 112020120200120 its reverse (21002021020211), we get a palindrome (133022141220331).

The spelling of 112020120200120 in words is "one hundred twelve trillion, twenty billion, one hundred twenty million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 1811 2728 3410 3622 6820 7244 9055 13640 14488 18110 19921 36220 39842 56141 72440 79684 99605 112282 159368 199210 224564 280705 398420 449128 561410 617551 796840 1122820 1235102 2245640 2470204 3087755 4534853 4940408 6175510 9069706 12351020 18139412 22674265 24702040 36278824 45348530 49883383 90697060 99766766 140580443 181394120 199533532 249416915 281160886 399067064 498833830 562321772 702902215 997667660 1124643544 1405804430 1546384873 1995335320 2811608860 3092769746 5623217720 6185539492 7731924365 8212618783 12371078984 15463848730 16425237566 30927697460 32850475132 41063093915 61855394920 65700950264 82126187830 90338806613 164252375660 180677613226 254591182273 328504751320 361355226452 451694033065 509182364546 722710452904 903388066130 1018364729092 1272955911365 1806776132260 2036729458184 2545911822730 2800503005003 3613552264520 5091823645460 5601006010006 10183647290920 11202012020012 14002515025015 22404024040024 28005030050030 56010060100060 112020120200120