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12000102202000 = 2453112323715617
BaseRepresentation
bin1010111010011111110111…
…0101000011101010010000
31120111012100202101111120201
42232213331311003222100
53033102202130431000
641304434300344544
72345656501505353
oct256477565035220
946435322344521
1012000102202000
11390723a93a770
121419849b45154
136907b2924743
142d6b453c429a
1515c23bdac96a
hexae9fdd43a90

12000102202000 has 160 divisors (see below), whose sum is σ = 33030353850624. Its totient is φ = 4173948416000.

The previous prime is 12000102201949. The next prime is 12000102202003. The reversal of 12000102202000 is 20220100021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12000102202003) 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, 11351809 + ... + 12363808.

Almost surely, 212000102202000 is an apocalyptic number.

12000102202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000102202000 is an abundant number, since it is smaller than the sum of its proper divisors (21030251648624).

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

12000102202000 is a wasteful number, since it uses less digits than its factorization.

12000102202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23715674 (or 23715658 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12000102202000 its reverse (20220100021), we get a palindrome (12020322302021).

The spelling of 12000102202000 in words is "twelve trillion, one hundred two million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 125 176 184 200 220 230 250 253 275 368 400 440 460 500 506 550 575 880 920 1000 1012 1100 1150 1265 1375 1840 2000 2024 2200 2300 2530 2750 2875 4048 4400 4600 5060 5500 5750 6325 9200 10120 11000 11500 12650 20240 22000 23000 25300 31625 46000 50600 63250 101200 126500 253000 506000 23715617 47431234 94862468 118578085 189724936 237156170 260871787 379449872 474312340 521743574 545459191 592890425 948624680 1043487148 1090918382 1185780850 1304358935 1897249360 2086974296 2181836764 2371561700 2608717870 2727295955 2964452125 4173948592 4363673528 4743123400 5217435740 5454591910 5928904250 6000051101 6521794675 8727347056 9486246800 10434871480 10909183820 11857808500 12000102202 13043589350 13636479775 20869742960 21818367640 23715617000 24000204404 26087178700 27272959550 30000255505 32608973375 43636735280 47431234000 48000408808 52174357400 54545919100 60000511010 65217946750 68182398875 96000817616 104348714800 109091838200 120001022020 130435893500 136364797750 150001277525 218183676400 240002044040 260871787000 272729595500 300002555050 480004088080 521743574000 545459191000 600005110100 750006387625 1090918382000 1200010220200 1500012775250 2400020440400 3000025550500 6000051101000 12000102202000