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112112002121020 = 225111959454594121
BaseRepresentation
bin11001011111011100011100…
…000011111011110100111100
3112200221210200012010220011121
4121133130130003323310330
5104143320340020333040
61034235313123000324
732420552632402606
oct3137343403736474
9480853605126147
10112112002121020
11327a4484497260
12106a80828090a4
134a73168a70305
141d9836d862176
15ce6455468c4a
hex65f71c0fbd3c

112112002121020 has 96 divisors (see below), whose sum is σ = 274938524985600. Its totient is φ = 37967700902400.

The previous prime is 112112002120889. The next prime is 112112002121047. The reversal of 112112002121020 is 20121200211211.

112112002121020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 112112002120985 and 112112002121003.

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, 227050441 + ... + 227543680.

It is an arithmetic number, because the mean of its divisors is an integer number (2863942968600).

Almost surely, 2112112002121020 is an apocalyptic number.

112112002121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112112002121020 is an abundant number, since it is smaller than the sum of its proper divisors (162826522864580).

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

112112002121020 is a wasteful number, since it uses less digits than its factorization.

112112002121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454594219 (or 454594217 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112112002121020 its reverse (20121200211211), we get a palindrome (132233202332231).

The spelling of 112112002121020 in words is "one hundred twelve trillion, one hundred twelve billion, two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 59 76 95 110 118 190 209 220 236 295 380 418 590 649 836 1045 1121 1180 1298 2090 2242 2596 3245 4180 4484 5605 6490 11210 12331 12980 22420 24662 49324 61655 123310 246620 454594121 909188242 1818376484 2272970605 4545941210 5000535331 8637288299 9091882420 10001070662 17274576598 20002141324 25002676655 26821053139 34549153196 43186441495 50005353310 53642106278 86372882990 95010171289 100010706620 107284212556 134105265695 172745765980 190020342578 268210531390 295031584529 380040685156 475050856445 509600009641 536421062780 590063169058 950101712890 1019200019282 1180126338116 1475157922645 1900203425780 2038400038564 2548000048205 2950315845290 5096000096410 5605600106051 5900631690580 10192000192820 11211200212102 22422400424204 28028000530255 56056001060510 112112002121020