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112002012020120 = 235109181331342839
BaseRepresentation
bin11001011101110110000000…
…001000111111110110011000
3112200120021202210100211210212
4121131312000020333312120
5104140020110034120440
61034113003005230252
732406610161101525
oct3135660010776630
9480507683324725
10112002012020120
1132761871998522
121068a8a7262388
134a6598a62b081
141d92cd7ad814c
15ce3669179465
hex65dd8023fd98

112002012020120 has 128 divisors (see below), whose sum is σ = 255804717168000. Its totient is φ = 44130185994240.

The previous prime is 112002012020023. The next prime is 112002012020149. The reversal of 112002012020120 is 21020210200211.

It is a junction number, because it is equal to n+sod(n) for n = 112002012020095 and 112002012020104.

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, 2614465661 + ... + 2614508499.

It is an arithmetic number, because the mean of its divisors is an integer number (1998474352875).

Almost surely, 2112002012020120 is an apocalyptic number.

112002012020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112002012020120 is an abundant number, since it is smaller than the sum of its proper divisors (143802705147880).

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

112002012020120 is a wasteful number, since it uses less digits than its factorization.

112002012020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46453 (or 46449 counting only the distinct ones).

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

Adding to 112002012020120 its reverse (21020210200211), we get a palindrome (133022222220331).

The spelling of 112002012020120 in words is "one hundred twelve trillion, two billion, twelve million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 109 181 218 362 436 545 724 872 905 1090 1448 1810 2180 3313 3620 4360 6626 7240 13252 16565 19729 26504 33130 39458 42839 66260 78916 85678 98645 132520 157832 171356 197290 214195 342712 361117 394580 428390 599653 722234 789160 856780 1199306 1444468 1713560 1805585 2398612 2888936 2998265 3611170 4669451 4797224 5996530 7222340 7753859 9338902 11993060 14444680 15507718 18677804 23347255 23986120 31015436 37355608 38769295 46694510 62030872 65362177 77538590 93389020 130724354 141925607 155077180 186778040 261448708 283851214 310154360 326810885 522897416 567702428 653621770 709628035 845170631 1135404856 1307243540 1419256070 1690341262 2614487080 2838512140 3380682524 4225853155 5677024280 6761365048 8451706310 15469891163 16903412620 25688534867 30939782326 33806825240 51377069734 61879564652 77349455815 102754139468 123759129304 128442674335 154698911630 205508278936 256885348670 309397823260 513770697340 618795646520 1027541394680 2800050300503 5600100601006 11200201202012 14000251502515 22400402404024 28000503005030 56001006010060 112002012020120