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2022010221200 = 245271563126461
BaseRepresentation
bin11101011011001001001…
…100110111001010010000
321011022011100221221021212
4131123021030313022100
5231112034104034300
64144522040235252
7266041204204124
oct35331114671220
97138140857255
102022010221200
1170a591068842
12287a6716bb28
131188a05547b8
146dc19b31584
15378e5479935
hex1d6c9337290

2022010221200 has 120 divisors (see below), whose sum is σ = 4935089509056. Its totient is φ = 795989824000.

The previous prime is 2022010221199. The next prime is 2022010221227. The reversal of 2022010221200 is 21220102202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15925970 + ... + 16052430.

Almost surely, 22022010221200 is an apocalyptic number.

2022010221200 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 2022010221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467544754528).

2022010221200 is an abundant number, since it is smaller than the sum of its proper divisors (2913079287856).

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

2022010221200 is a wasteful number, since it uses less digits than its factorization.

2022010221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127113 (or 127102 counting only the distinct ones).

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

Adding to 2022010221200 its reverse (21220102202), we get a palindrome (2043230323402).

The spelling of 2022010221200 in words is "two trillion, twenty-two billion, ten million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 142 200 284 355 400 563 568 710 1126 1136 1420 1775 2252 2815 2840 3550 4504 5630 5680 7100 9008 11260 14075 14200 22520 28150 28400 39973 45040 56300 79946 112600 126461 159892 199865 225200 252922 319784 399730 505844 632305 639568 799460 999325 1011688 1264610 1598920 1998650 2023376 2529220 3161525 3197840 3997300 5058440 6323050 7994600 8978731 10116880 12646100 15989200 17957462 25292200 35914924 44893655 50584400 71197543 71829848 89787310 142395086 143659696 179574620 224468275 284790172 355987715 359149240 448936550 569580344 711975430 718298480 897873100 1139160688 1423950860 1779938575 1795746200 2847901720 3559877150 3591492400 5055025553 5695803440 7119754300 10110051106 14239508600 20220102212 25275127765 28479017200 40440204424 50550255530 80880408848 101100511060 126375638825 202201022120 252751277650 404402044240 505502555300 1011005110600 2022010221200