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12000201203100 = 223521131711471371
BaseRepresentation
bin1010111010100000001110…
…1110101101110110011100
31120111012121122200021120010
42232220003232231312130
53033102403001444400
641304452154323220
72345662113140325
oct256500356556634
946435548607503
1012000201203100
113907290809760
121419877129510
136907ca2a8686
142d6b545d544c
1515c245916450
hexaea03badd9c

12000201203100 has 144 divisors (see below), whose sum is σ = 37996487819136. Its totient is φ = 2899962336000.

The previous prime is 12000201203093. The next prime is 12000201203117. The reversal of 12000201203100 is 130210200021.

It is a super-2 number, since 2×120002012031002 (a number of 27 digits) contains 22 as substring.

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

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, 4689586 + ... + 6781785.

It is an arithmetic number, because the mean of its divisors is an integer number (263864498744).

Almost surely, 212000201203100 is an apocalyptic number.

12000201203100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000201203100 is an abundant number, since it is smaller than the sum of its proper divisors (25996286616036).

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

12000201203100 is a wasteful number, since it uses less digits than its factorization.

12000201203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11471716 (or 11471709 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12000201203100 its reverse (130210200021), we get a palindrome (12130411403121).

The spelling of 12000201203100 in words is "twelve trillion, two hundred one million, two hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 317 330 550 634 660 825 951 1100 1268 1585 1650 1902 3170 3300 3487 3804 4755 6340 6974 7925 9510 10461 13948 15850 17435 19020 20922 23775 31700 34870 41844 47550 52305 69740 87175 95100 104610 174350 209220 261525 348700 523050 1046100 11471371 22942742 34414113 45885484 57356855 68828226 114713710 126185081 137656452 172070565 229427420 252370162 286784275 344141130 378555243 504740324 573568550 630925405 688282260 757110486 860352825 1147137100 1261850810 1514220972 1720705650 1892776215 2523701620 3154627025 3441411300 3636424607 3785552430 6309254050 7272849214 7571104860 9463881075 10909273821 12618508100 14545698428 18182123035 18927762150 21818547642 36364246070 37855524300 40000670677 43637095284 54546369105 72728492140 80001341354 90910615175 109092738210 120002012031 160002682708 181821230350 200003353385 218185476420 240004024062 272731845525 363642460700 400006706770 480008048124 545463691050 600010060155 800013413540 1000016766925 1090927382100 1200020120310 2000033533850 2400040240620 3000050300775 4000067067700 6000100601550 12000201203100