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12202021002000 = 2435313611494247
BaseRepresentation
bin1011000110010000000100…
…1000001001101100010000
31121012111112211020022211210
42301210001020021230100
53044404214334031000
641541310413140120
72366365312132434
oct261440110115420
947174484208753
1012202021002000
113984936827795
121450a0018a640
136a685162a61b
1430281c2649c4
15162608a05350
hexb1901209b10

12202021002000 has 160 divisors (see below), whose sum is σ = 39368246770944. Its totient is φ = 3251479296000.

The previous prime is 12202021001999. The next prime is 12202021002023. The reversal of 12202021002000 is 20012020221.

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, 7418877 + ... + 8913123.

Almost surely, 212202021002000 is an apocalyptic number.

12202021002000 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 12202021002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19684123385472).

12202021002000 is an abundant number, since it is smaller than the sum of its proper divisors (27166225768944).

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

12202021002000 is a wasteful number, since it uses less digits than its factorization.

12202021002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495634 (or 1495618 counting only the distinct ones).

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

Adding to 12202021002000 its reverse (20012020221), we get a palindrome (12222033022221).

The spelling of 12202021002000 in words is "twelve trillion, two hundred two billion, twenty-one million, 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 1361 1500 2000 2722 3000 4083 5444 6000 6805 8166 10888 13610 16332 20415 21776 27220 32664 34025 40830 54440 65328 68050 81660 102075 108880 136100 163320 170125 204150 272200 326640 340250 408300 510375 544400 680500 816600 1020750 1361000 1494247 1633200 2041500 2722000 2988494 4083000 4482741 5976988 7471235 8166000 8965482 11953976 14942470 17930964 22413705 23907952 29884940 35861928 37356175 44827410 59769880 71723856 74712350 89654820 112068525 119539760 149424700 179309640 186780875 224137050 298849400 358619280 373561750 448274100 560342625 597698800 747123500 896548200 1120685250 1494247000 1793096400 2033670167 2241370500 2988494000 4067340334 4482741000 6101010501 8134680668 8965482000 10168350835 12202021002 16269361336 20336701670 24404042004 30505052505 32538722672 40673403340 48808084008 50841754175 61010105010 81346806680 97616168016 101683508350 122020210020 152525262525 162693613360 203367016700 244040420040 254208770875 305050525050 406734033400 488080840080 508417541750 610101050100 762626312625 813468066800 1016835083500 1220202100200 1525252625250 2033670167000 2440404200400 3050505250500 4067340334000 6101010501000 12202021002000