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12002120202000 = 243532477807571
BaseRepresentation
bin1010111010100111011000…
…0111000111011100010000
31120111101120101121112011110
42232221312013013130100
53033120320232431000
641305410425213320
72346060504306315
oct256516607073420
946441511545143
1012002120202000
113908085a60a65
12141a111931240
13690a44a31a96
142d6c97406d0c
1515c309128850
hexaea761c7710

12002120202000 has 160 divisors (see below), whose sum is σ = 38710505119104. Its totient is φ = 3199269312000.

The previous prime is 12002120201963. The next prime is 12002120202047. The reversal of 12002120202000 is 20202120021.

12002120202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14458215 + ... + 15265785.

Almost surely, 212002120202000 is an apocalyptic number.

12002120202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002120202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19355252559552).

12002120202000 is an abundant number, since it is smaller than the sum of its proper divisors (26708384917104).

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

12002120202000 is a wasteful number, since it uses less digits than its factorization.

12002120202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810074 (or 810058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12002120202000 its reverse (20202120021), we get a palindrome (12022322322021).

The spelling of 12002120202000 in words is "twelve trillion, two billion, one hundred twenty million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 2477 3000 4954 6000 7431 9908 12385 14862 19816 24770 29724 37155 39632 49540 59448 61925 74310 99080 118896 123850 148620 185775 198160 247700 297240 309625 371550 495400 594480 619250 743100 807571 928875 990800 1238500 1486200 1615142 1857750 2422713 2477000 2972400 3230284 3715500 4037855 4845426 4954000 6460568 7431000 8075710 9690852 12113565 12921136 14862000 16151420 19381704 20189275 24227130 32302840 38763408 40378550 48454260 60567825 64605680 80757100 96908520 100946375 121135650 161514200 193817040 201892750 242271300 302839125 323028400 403785500 484542600 605678250 807571000 969085200 1211356500 1615142000 2000353367 2422713000 4000706734 4845426000 6001060101 8001413468 10001766835 12002120202 16002826936 20003533670 24004240404 30005300505 32005653872 40007067340 48008480808 50008834175 60010601010 80014134680 96016961616 100017668350 120021202020 150026502525 160028269360 200035336700 240042404040 250044170875 300053005050 400070673400 480084808080 500088341750 600106010100 750132512625 800141346800 1000176683500 1200212020200 1500265025250 2000353367000 2400424040400 3000530050500 4000706734000 6001060101000 12002120202000