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12202101221000 = 235317373995443
BaseRepresentation
bin1011000110010000010111…
…1010001010011010001000
31121012111202102011212121212
42301210011322022122020
53044404400403033000
641541322400352252
72366400305030165
oct261440572123210
947174672155555
1012202101221000
113984978038489
121450a23015688
136a68651365a2
14302828b8706c
15162610a9dc35
hexb1905e8a688

12202101221000 has 128 divisors (see below), whose sum is σ = 28757124489600. Its totient is φ = 4846010284800.

The previous prime is 12202101220987. The next prime is 12202101221021. The reversal of 12202101221000 is 12210120221.

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, 127799279 + ... + 127894721.

It is an arithmetic number, because the mean of its divisors is an integer number (224665035075).

Almost surely, 212202101221000 is an apocalyptic number.

12202101221000 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 12202101221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14378562244800).

12202101221000 is an abundant number, since it is smaller than the sum of its proper divisors (16555023268600).

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

12202101221000 is a wasteful number, since it uses less digits than its factorization.

12202101221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96376 (or 96362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12202101221000 its reverse (12210120221), we get a palindrome (12214311341221).

The spelling of 12202101221000 in words is "twelve trillion, two hundred two billion, one hundred one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 173 200 250 346 500 692 739 865 1000 1384 1478 1730 2956 3460 3695 4325 5912 6920 7390 8650 14780 17300 18475 21625 29560 34600 36950 43250 73900 86500 92375 95443 127847 147800 173000 184750 190886 255694 369500 381772 477215 511388 639235 739000 763544 954430 1022776 1278470 1908860 2386075 2556940 3196175 3817720 4772150 5113880 6392350 9544300 11930375 12784700 15980875 16511639 19088600 23860750 25569400 31961750 33023278 47721500 63923500 66046556 70532377 82558195 95443000 127847000 132093112 141064754 165116390 282129508 330232780 352661885 412790975 564259016 660465560 705323770 825581950 1410647540 1651163900 1763309425 2063954875 2821295080 3302327800 3526618850 4127909750 7053237700 8255819500 8816547125 12202101221 14106475400 16511639000 17633094250 24404202442 35266188500 48808404884 61010506105 70532377000 97616809768 122021012210 244042024420 305052530525 488084048840 610105061050 1220210122100 1525262652625 2440420244200 3050525305250 6101050610500 12202101221000