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12112201012200 = 23352191062473773
BaseRepresentation
bin1011000001000001011101…
…1100000101001111101000
31120212220201010002002021220
42300100113130011033220
53041421241424342300
641432133543102040
72360035426616112
oct260202734051750
946786633062256
1012112201012200
11394a834785a63
121437513741920
1369b238bb3a73
142dc33b2243b2
151600ed384da0
hexb04177053e8

12112201012200 has 96 divisors (see below), whose sum is σ = 39524024392800. Its totient is φ = 3059924463360.

The previous prime is 12112201012183. The next prime is 12112201012213. The reversal of 12112201012200 is 221010221121.

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 12112201012200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531225487 + ... + 531248286.

It is an arithmetic number, because the mean of its divisors is an integer number (411708587425).

Almost surely, 212112201012200 is an apocalyptic number.

12112201012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112201012200 is an abundant number, since it is smaller than the sum of its proper divisors (27411823380600).

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

12112201012200 is a wasteful number, since it uses less digits than its factorization.

12112201012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062473811 (or 1062473802 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12112201012200 its reverse (221010221121), we get a palindrome (12333211233321).

The spelling of 12112201012200 in words is "twelve trillion, one hundred twelve billion, two hundred one million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 1062473773 2124947546 3187421319 4249895092 5312368865 6374842638 8499790184 10624737730 12749685276 15937106595 20187001687 21249475460 25499370552 26561844325 31874213190 40374003374 42498950920 53123688650 60561005061 63748426380 79685532975 80748006748 100935008435 106247377300 121122010122 127496852760 159371065950 161496013496 201870016870 212494754600 242244020244 302805025305 318742131900 403740033740 484488040488 504675042175 605610050610 637484263800 807480067480 1009350084350 1211220101220 1514025126525 2018700168700 2422440202440 3028050253050 4037400337400 6056100506100 12112201012200