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112011212121120 = 25325135983504921
BaseRepresentation
bin11001011101111110100100…
…100000100110010000100000
3112200121011111221222101210100
4121131332210200212100200
5104140142430300333440
61034121123535302400
732410354153500444
oct3135764440462040
9480534457871710
10112011212121120
1132765763130584
121069063437aa00
134a667c569c610
141d9352b91a824
15ce3a06bd0230
hex65dfa4826420

112011212121120 has 144 divisors (see below), whose sum is σ = 411641204613912. Its totient is φ = 27571990671360.

The previous prime is 112011212121103. The next prime is 112011212121239. The reversal of 112011212121120 is 21121212110211.

It is a happy number.

112011212121120 is a `hidden beast` number, since 11 + 201 + 1 + 212 + 121 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 79870612465296 + 32140599655824 = 8937036^2 + 5669268^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112011212121093 and 112011212121102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2991733741 + ... + 2991771180.

Almost surely, 2112011212121120 is an apocalyptic number.

112011212121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112011212121120 is an abundant number, since it is smaller than the sum of its proper divisors (299629992492792).

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

112011212121120 is a wasteful number, since it uses less digits than its factorization.

112011212121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5983504955 (or 5983504944 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 112011212121120 its reverse (21121212110211), we get a palindrome (133132424231331).

The spelling of 112011212121120 in words is "one hundred twelve trillion, eleven billion, two hundred twelve million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 5983504921 11967009842 17950514763 23934019684 29917524605 35901029526 47868039368 53851544289 59835049210 71802059052 77785563973 89752573815 95736078736 107703088578 119670098420 143604118104 155571127946 179505147630 191472157472 215406177156 233356691919 239340196840 269257721445 287208236208 311142255892 359010295260 388927819865 430812354312 466713383838 478680393680 538515442890 574416472416 622284511784 700070075757 718020590520 777855639730 861624708624 933426767676 957360787360 1077030885780 1166783459595 1244569023568 1400140151514 1436041181040 1555711279460 1723249417248 1866853535352 2154061771560 2333566919190 2489138047136 2800280303028 2872082362080 3111422558920 3500350378785 3733707070704 4308123543120 4667133838380 5600560606056 6222845117840 7000700757570 7467414141408 8616247086240 9334267676760 11201121212112 12445690235680 14001401515140 18668535353520 22402242424224 28002803030280 37337070707040 56005606060560 112011212121120