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12020202221100 = 22352376716162703
BaseRepresentation
bin1010111011101010101111…
…1000100010111000101100
31120120010020120010021020120
42232322223320202320230
53033414333232033400
641322001001444540
72350300550034213
oct256725370427054
946503216107216
1012020202221100
1139148148735a7
1214217194a0750
13692666c4b778
142d7ad0aa407a
1515ca167d3ca0
hexaeeabe22e2c

12020202221100 has 144 divisors (see below), whose sum is σ = 36251522754048. Its totient is φ = 3072206396160.

The previous prime is 12020202221077. The next prime is 12020202221107. The reversal of 12020202221100 is 112220202021.

It is a super-2 number, since 2×120202022211002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12020202221100.

It is not an unprimeable number, because it can be changed into a prime (12020202221107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7337652 + ... + 8825051.

It is an arithmetic number, because the mean of its divisors is an integer number (251746685792).

Almost surely, 212020202221100 is an apocalyptic number.

12020202221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020202221100 is an abundant number, since it is smaller than the sum of its proper divisors (24231320532948).

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

12020202221100 is a wasteful number, since it uses less digits than its factorization.

12020202221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16162824 (or 16162817 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12020202221100 its reverse (112220202021), we get a palindrome (12132422423121).

The spelling of 12020202221100 in words is "twelve trillion, twenty billion, two hundred two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 67 74 75 100 111 134 148 150 185 201 222 268 300 335 370 402 444 555 670 740 804 925 1005 1110 1340 1675 1850 2010 2220 2479 2775 3350 3700 4020 4958 5025 5550 6700 7437 9916 10050 11100 12395 14874 20100 24790 29748 37185 49580 61975 74370 123950 148740 185925 247900 371850 743700 16162703 32325406 48488109 64650812 80813515 96976218 161627030 193952436 242440545 323254060 404067575 484881090 598020011 808135150 969762180 1082901101 1196040022 1212202725 1616270300 1794060033 2165802202 2392080044 2424405450 2990100055 3248703303 3588120066 4331604404 4848810900 5414505505 5980200110 6497406606 7176240132 8970300165 10829011010 11960400220 12994813212 14950500275 16243516515 17940600330 21658022020 27072527525 29901000550 32487033030 35881200660 40067340737 44851500825 54145055050 59802001100 64974066060 80134681474 81217582575 89703001650 108290110100 120202022211 160269362948 162435165150 179406003300 200336703685 240404044422 324870330300 400673407370 480808088844 601010111055 801346814740 1001683518425 1202020222110 2003367036850 2404040444220 3005050555275 4006734073700 6010101110550 12020202221100