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12021100200120 = 23351123395951917
BaseRepresentation
bin1010111011101110000101…
…1010000100000010111000
31120120012120010211022212210
42232323201122010002320
53033423203122400440
641322230040335120
72350332032524644
oct256734132040270
946505503738783
1012021100200120
113915135745520
12142192a1744a0
1369277acb82bb
142d7b78055c24
1515ca6a561a80
hexaeee16840b8

12021100200120 has 128 divisors (see below), whose sum is σ = 41052294858240. Its totient is φ = 2787501488640.

The previous prime is 12021100200101. The next prime is 12021100200127. The reversal of 12021100200120 is 2100200112021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12021100200096 and 12021100200105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021100200127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197945599 + ... + 198006318.

It is an arithmetic number, because the mean of its divisors is an integer number (320721053580).

Almost surely, 212021100200120 is an apocalyptic number.

12021100200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12021100200120 is an abundant number, since it is smaller than the sum of its proper divisors (29031194658120).

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

12021100200120 is a wasteful number, since it uses less digits than its factorization.

12021100200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395951965 (or 395951961 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12021100200120 its reverse (2100200112021), we get a palindrome (14121300312141).

The spelling of 12021100200120 in words is "twelve trillion, twenty-one billion, one hundred million, two hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 30360 395951917 791903834 1187855751 1583807668 1979759585 2375711502 3167615336 3959519170 4355471087 4751423004 5939278755 7919038340 8710942174 9106894091 9502846008 11878557510 13066413261 15838076680 17421884348 18213788182 21777355435 23757115020 26132826522 27320682273 34843768696 36427576364 43554710870 45534470455 47514230040 52265653044 54641364546 65332066305 72855152728 87109421740 91068940910 100175835001 104531306088 109282729092 130664132610 136603411365 174218843480 182137881820 200351670002 218565458184 261328265220 273206822730 300527505003 364275763640 400703340004 500879175005 522656530440 546413645460 601055010006 801406680008 1001758350010 1092827290920 1202110020012 1502637525015 2003516700020 2404220040024 3005275050030 4007033400040 6010550100060 12021100200120