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20012211221000 = 2353292132332363
BaseRepresentation
bin1001000110011011101001…
…01111011011001000001000
32121212011000102000210202012
410203031310233123020020
510110340002033033000
6110321252150555052
74133556151466165
oct443156457331010
977764012023665
1020012211221000
116416149576119
1222b2601068a88
13b221b31310ab
144d284bd3d06c
1524a86be2a735
hex123374bdb208

20012211221000 has 128 divisors (see below), whose sum is σ = 48447121507200. Its totient is φ = 7728252716800.

The previous prime is 20012211220931. The next prime is 20012211221033. The reversal of 20012211221000 is 12211221002.

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, 618350819 + ... + 618383181.

It is an arithmetic number, because the mean of its divisors is an integer number (378493136775).

Almost surely, 220012211221000 is an apocalyptic number.

20012211221000 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 20012211221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24223560753600).

20012211221000 is an abundant number, since it is smaller than the sum of its proper divisors (28434910286200).

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

20012211221000 is a wasteful number, since it uses less digits than its factorization.

20012211221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53736 (or 53722 counting only the distinct ones).

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

Adding to 20012211221000 its reverse (12211221002), we get a palindrome (20024422442002).

The spelling of 20012211221000 in words is "twenty trillion, twelve billion, two hundred eleven million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 5800 7250 14500 21323 29000 32363 42646 64726 85292 106615 129452 161815 170584 213230 258904 323630 426460 533075 618367 647260 809075 852920 938527 1066150 1236734 1294520 1618150 1877054 2132300 2473468 2665375 3091835 3236300 3754108 4045375 4264600 4692635 4946936 5330750 6183670 6472600 7508216 8090750 9385270 10661500 12367340 15459175 16181500 18770540 21323000 23463175 24734680 30918350 32363000 37541080 46926350 61836700 77295875 93852700 117315875 123673400 154591750 187705400 234631750 309183500 469263500 618367000 690076249 938527000 1380152498 2760304996 3450381245 5520609992 6900762490 13801524980 17251906225 20012211221 27603049960 34503812450 40024422442 69007624900 80048844884 86259531125 100061056105 138015249800 160097689768 172519062250 200122112210 345038124500 400244224420 500305280525 690076249000 800488448840 1000610561050 2001221122100 2501526402625 4002442244200 5003052805250 10006105610500 20012211221000