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12021211201000 = 2353131593154747
BaseRepresentation
bin1010111011101110100000…
…0001011111110111101000
31120120012211212200202110111
42232323220001133313220
53033423420031413000
641322245043424104
72350334551155451
oct256735001376750
946505755622414
1012021211201000
113915192370091
12142195b385034
13692797cb10b1
142d7b88aac128
1515ca7518acba
hexaeee805fde8

12021211201000 has 128 divisors (see below), whose sum is σ = 28392345970560. Its totient is φ = 4763700864000.

The previous prime is 12021211200991. The next prime is 12021211201001. The reversal of 12021211201000 is 10211212021.

It is not an unprimeable number, because it can be changed into a prime (12021211201001) 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, 77605627 + ... + 77760373.

It is an arithmetic number, because the mean of its divisors is an integer number (221815202895).

Almost surely, 212021211201000 is an apocalyptic number.

12021211201000 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 12021211201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14196172985280).

12021211201000 is an abundant number, since it is smaller than the sum of its proper divisors (16371134769560).

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

12021211201000 is a wasteful number, since it uses less digits than its factorization.

12021211201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155492 (or 155478 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12021211201000 its reverse (10211212021), we get a palindrome (12031422413021).

The spelling of 12021211201000 in words is "twelve trillion, twenty-one billion, two hundred eleven million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 131 200 250 262 500 524 593 655 1000 1048 1186 1310 2372 2620 2965 3275 4744 5240 5930 6550 11860 13100 14825 16375 23720 26200 29650 32750 59300 65500 74125 77683 118600 131000 148250 154747 155366 296500 309494 310732 388415 593000 618988 621464 773735 776830 1237976 1547470 1553660 1942075 3094940 3107320 3868675 3884150 6189880 7737350 7768300 9710375 15474700 15536600 19343375 19420750 20271857 30949400 38686750 38841500 40543714 77373500 77683000 81087428 91764971 101359285 154747000 162174856 183529942 202718570 367059884 405437140 458824855 506796425 734119768 810874280 917649710 1013592850 1835299420 2027185700 2294124275 2533982125 3670598840 4054371400 4588248550 5067964250 9176497100 10135928500 11470621375 12021211201 18352994200 20271857000 22941242750 24042422402 45882485500 48084844804 60106056005 91764971000 96169689608 120212112010 240424224020 300530280025 480848448040 601060560050 1202121120100 1502651400125 2404242240200 3005302800250 6010605600500 12021211201000