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112122022012020 = 223257110980488451
BaseRepresentation
bin11001011111100101110001…
…010010110010010001110100
3112200222202112111100002121200
4121133211301102302101310
5104144001400113341040
61034244051300012500
732421356141151036
oct3137456122622164
9480882474302550
10112122022012020
11327a8756457709
12106a9bba391130
134a740a49033b7
141d98a404c1c56
15ce683ee55630
hex65f9714b2474

112122022012020 has 144 divisors (see below), whose sum is σ = 348057822752640. Its totient is φ = 29207648736000.

The previous prime is 112122022011983. The next prime is 112122022012051. The reversal of 112122022012020 is 20210220221211.

It is a happy number.

112122022012020 is a `hidden beast` number, since 1 + 1 + 21 + 220 + 220 + 1 + 202 + 0 = 666.

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 = 112122022011984 and 112122022012002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38851206 + ... + 41637245.

It is an arithmetic number, because the mean of its divisors is an integer number (2417068213560).

Almost surely, 2112122022012020 is an apocalyptic number.

112122022012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112122022012020 is an abundant number, since it is smaller than the sum of its proper divisors (235935800740620).

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

112122022012020 is a wasteful number, since it uses less digits than its factorization.

112122022012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80488646 (or 80488641 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112122022012020 its reverse (20210220221211), we get a palindrome (132332242233231).

The spelling of 112122022012020 in words is "one hundred twelve trillion, one hundred twenty-two billion, twenty-two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 109 142 180 213 218 284 327 355 426 436 545 639 654 710 852 981 1065 1090 1278 1308 1420 1635 1962 2130 2180 2556 3195 3270 3924 4260 4905 6390 6540 7739 9810 12780 15478 19620 23217 30956 38695 46434 69651 77390 92868 116085 139302 154780 232170 278604 348255 464340 696510 1393020 80488451 160976902 241465353 321953804 402442255 482930706 724396059 804884510 965861412 1207326765 1448792118 1609769020 2414653530 2897584236 3621980295 4829307060 5714680021 7243960590 8773241159 11429360042 14487921180 17144040063 17546482318 22858720084 26319723477 28573400105 34288080126 35092964636 43866205795 51432120189 52639446954 57146800210 68576160252 78959170431 85720200315 87732411590 102864240378 105278893908 114293600420 131598617385 157918340862 171440400630 175464823180 205728480756 257160600945 263197234770 315836681724 342880801260 394795852155 514321201890 526394469540 622900122289 789591704310 1028642403780 1245800244578 1579183408620 1868700366867 2491600489156 3114500611445 3737400733734 5606101100601 6229001222890 7474801467468 9343501834335 11212202201202 12458002445780 18687003668670 22424404402404 28030505503005 37374007337340 56061011006010 112122022012020