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20021202201200 = 24522911969144203
BaseRepresentation
bin1001000110101100011001…
…01001010010101001110000
32121220000020000010220220212
410203112030221102221300
510111011410230414300
6110325340250523252
74134325024532354
oct443261451225160
977800200126825
1020021202201200
116419a42766672
1222b42b0136528
13b22cb6a73a15
144d3062087464
1524abe6424935
hex12358ca52a70

20021202201200 has 120 divisors (see below), whose sum is σ = 49764093800400. Its totient is φ = 7731626721280.

The previous prime is 20021202201181. The next prime is 20021202201227. The reversal of 20021202201200 is 210220212002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138768299 + ... + 138912501.

It is an arithmetic number, because the mean of its divisors is an integer number (414700781670).

Almost surely, 220021202201200 is an apocalyptic number.

20021202201200 is a gapful number since it is divisible by the number (20) 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 20021202201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24882046900200).

20021202201200 is an abundant number, since it is smaller than the sum of its proper divisors (29742891599200).

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

20021202201200 is a wasteful number, since it uses less digits than its factorization.

20021202201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156219 (or 156208 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20021202201200 its reverse (210220212002), we get a palindrome (20231422413202).

The spelling of 20021202201200 in words is "twenty trillion, twenty-one billion, two hundred two million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 145 200 232 290 400 464 580 725 1160 1450 2320 2900 5800 11600 11969 23938 47876 59845 95752 119690 144203 191504 239380 288406 299225 347101 478760 576812 598450 694202 721015 957520 1153624 1196900 1388404 1442030 1735505 2307248 2393800 2776808 2884060 3471010 3605075 4181887 4787600 5553616 5768120 6942020 7210150 8363774 8677525 11536240 13884040 14420300 16727548 17355050 20909435 27768080 28840600 33455096 34710100 41818870 57681200 66910192 69420200 83637740 104547175 138840400 167275480 209094350 334550960 418188700 836377400 1672754800 1725965707 3451931414 6903862828 8629828535 13807725656 17259657070 27615451312 34519314140 43149142675 50053005503 69038628280 86298285350 100106011006 138077256560 172596570700 200212022012 250265027515 345193141400 400424044024 500530055030 690386282800 800848088048 1001060110060 1251325137575 2002120220120 2502650275150 4004240440240 5005300550300 10010601100600 20021202201200