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112010211202120 = 23571161735891293
BaseRepresentation
bin11001011101111101101000…
…110110011001010001001000
3112200121001221012120110001021
4121131331220312121101020
5104140133403031431440
61034120440342202224
732410320311021320
oct3135755066312110
9480531835513037
10112010211202120
113276529a13a2a0
12106903b5123374
134a6669620005a
141d93474a10280
15ce3998dbb84a
hex65df68d99448

112010211202120 has 128 divisors (see below), whose sum is σ = 314261416707840. Its totient is φ = 34906612055040.

The previous prime is 112010211202111. The next prime is 112010211202157. The reversal of 112010211202120 is 21202112010211.

It is a junction number, because it is equal to n+sod(n) for n = 112010211202094 and 112010211202103.

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, 16067194 + ... + 21958486.

It is an arithmetic number, because the mean of its divisors is an integer number (2455167318030).

Almost surely, 2112010211202120 is an apocalyptic number.

112010211202120 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 112010211202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157130708353920).

112010211202120 is an abundant number, since it is smaller than the sum of its proper divisors (202251205505720).

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

112010211202120 is a wasteful number, since it uses less digits than its factorization.

112010211202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897495 (or 5897491 counting only the distinct ones).

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

Adding to 112010211202120 its reverse (21202112010211), we get a palindrome (133212323212331).

The spelling of 112010211202120 in words is "one hundred twelve trillion, ten billion, two hundred eleven million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 6173 12346 24692 30865 43211 49384 61730 67903 86422 123460 135806 172844 216055 246920 271612 339515 345688 432110 475321 543224 679030 864220 950642 1358060 1728440 1901284 2376605 2716120 3802568 4753210 5891293 9506420 11782586 19012840 23565172 29456465 41239051 47130344 58912930 64804223 82478102 117825860 129608446 164956204 206195255 235651720 259216892 324021115 329912408 412390510 453629561 518433784 648042230 824781020 907259122 1296084460 1649562040 1814518244 2268147805 2592168920 3629036488 4536295610 9072591220 18145182440 36366951689 72733903378 145467806756 181834758445 254568661823 290935613512 363669516890 400036468579 509137323646 727339033780 800072937158 1018274647292 1272843309115 1454678067560 1600145874316 2000182342895 2036549294584 2545686618230 2800255280053 3200291748632 4000364685790 5091373236460 5600510560106 8000729371580 10182746472920 11201021120212 14001276400265 16001458743160 22402042240424 28002552800530 56005105601060 112010211202120