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1001012200122 = 2311197161318341
BaseRepresentation
bin11101001000100001111…
…10100000001010111010
310112200210021001112000110
432210100332200022322
5112400033110400442
62043505245245150
7132215005211544
oct16442076401272
93480707045013
101001012200122
11356588321920
12142004b637b6
1373519bb7b1c
1436640a4c694
151b08a55769c
hexe910fa02ba

1001012200122 has 128 divisors (see below), whose sum is σ = 2335285831680. Its totient is φ = 282846816000.

The previous prime is 1001012200109. The next prime is 1001012200147. The reversal of 1001012200122 is 2210022101001.

It is a junction number, because it is equal to n+sod(n) for n = 1001012200098 and 1001012200107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54568672 + ... + 54587012.

It is an arithmetic number, because the mean of its divisors is an integer number (18244420560).

Almost surely, 21001012200122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001012200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167642915840).

1001012200122 is an abundant number, since it is smaller than the sum of its proper divisors (1334273631558).

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

1001012200122 is a wasteful number, since it uses less digits than its factorization.

1001012200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19060.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001012200122 its reverse (2210022101001), we get a palindrome (3211034301123).

The spelling of 1001012200122 in words is "one trillion, one billion, twelve million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 71 114 142 209 213 418 426 613 627 781 1226 1254 1349 1562 1839 2343 2698 3678 4047 4686 6743 8094 11647 13486 14839 18341 20229 23294 29678 34941 36682 40458 43523 44517 55023 69882 87046 89034 110046 128117 130569 201751 256234 261138 348479 384351 403502 478753 605253 696958 768702 826937 957506 1045437 1210506 1302211 1436259 1653874 2090874 2480811 2604422 2872518 3833269 3906633 4961622 7666538 7813266 9096307 11243033 11499807 14324321 18192614 22486066 22999614 24742009 27288921 28648642 33729099 42972963 49484018 54577842 67458198 74226027 85945926 123673363 148452054 213617627 247346726 272162099 371020089 427235254 544324198 640852881 742040178 798255343 816486297 1281705762 1596510686 1632972594 2349793897 2394766029 4699587794 4789532058 7049381691 8780808773 14098763382 15166851517 17561617546 26342426319 30333703034 45500554551 52684852638 91001109102 166835366687 333670733374 500506100061 1001012200122