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12000100210200 = 23325223289857493
BaseRepresentation
bin1010111010011111110110…
…1101011101011000011000
31120111012100121122022100100
42232213331231131120120
53033102201123211300
641304434145535400
72345656445541354
oct256477555353030
946435317568310
1012000100210200
1139072397aa253
121419849344560
136907b23a7c6b
142d6b45026464
1515c23bb17700
hexae9fdb5d618

12000100210200 has 144 divisors (see below), whose sum is σ = 42052525229520. Its totient is φ = 3060895115520.

The previous prime is 12000100210183. The next prime is 12000100210253. The reversal of 12000100210200 is 201200100021.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144887347 + ... + 144970146.

It is an arithmetic number, because the mean of its divisors is an integer number (292031425205).

Almost surely, 212000100210200 is an apocalyptic number.

12000100210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000100210200 is an abundant number, since it is smaller than the sum of its proper divisors (30052425019320).

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

12000100210200 is a wasteful number, since it uses less digits than its factorization.

12000100210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289857538 (or 289857526 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12000100210200 its reverse (201200100021), we get a palindrome (12201300310221).

The spelling of 12000100210200 in words is "twelve trillion, one hundred million, two hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 25 30 36 40 45 46 50 60 69 72 75 90 92 100 115 120 138 150 180 184 200 207 225 230 276 300 345 360 414 450 460 552 575 600 690 828 900 920 1035 1150 1380 1656 1725 1800 2070 2300 2760 3450 4140 4600 5175 6900 8280 10350 13800 20700 41400 289857493 579714986 869572479 1159429972 1449287465 1739144958 2318859944 2608717437 2898574930 3478289916 4347862395 5217434874 5797149860 6666722339 6956579832 7246437325 8695724790 10434869748 11594299720 13043587185 13333444678 14492874650 17391449580 20000167017 20869739496 21739311975 26087174370 26666889356 28985749300 33333611695 34782899160 40000334034 43478623950 52174348740 53333778712 57971498600 60000501051 65217935925 66667223390 80000668068 86957247900 100000835085 104348697480 120001002102 130435871850 133334446780 160001336136 166668058475 173914495800 200001670170 240002004204 260871743700 266668893560 300002505255 333336116950 400003340340 480004008408 500004175425 521743487400 600005010510 666672233900 800006680680 1000008350850 1200010021020 1333344467800 1500012526275 2000016701700 2400020042040 3000025052550 4000033403400 6000050105100 12000100210200