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1112220220122 = 2331141151302443
BaseRepresentation
bin10000001011110101011…
…111011011101011011010
310221022211112120021022000
4100023311133123223122
5121210311334020442
62210540311141430
7143232565612314
oct20136537335332
93838745507260
101112220220122
11399765356270
1215b680374876
1380b6075675b
143bb9044c7b4
151dde8721d4c
hex102f57dbada

1112220220122 has 128 divisors (see below), whose sum is σ = 2780355594240. Its totient is φ = 326637360000.

The previous prime is 1112220220121. The next prime is 1112220220129. The reversal of 1112220220122 is 2210220222111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1112220220095 and 1112220220104.

It is not an unprimeable number, because it can be changed into a prime (1112220220121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3526233 + ... + 3828675.

It is an arithmetic number, because the mean of its divisors is an integer number (21721528080).

Almost surely, 21112220220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112220220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390177797120).

1112220220122 is an abundant number, since it is smaller than the sum of its proper divisors (1668135374118).

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

1112220220122 is a wasteful number, since it uses less digits than its factorization.

1112220220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302657 (or 302651 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1112220220122 its reverse (2210220222111), we get a palindrome (3322440442233).

The spelling of 1112220220122 in words is "one trillion, one hundred twelve billion, two hundred twenty million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 82 99 123 151 198 246 297 302 369 451 453 594 738 902 906 1107 1353 1359 1661 2214 2706 2718 3322 4059 4077 4983 6191 8118 8154 9966 12177 12382 14949 18573 24354 29898 37146 44847 55719 68101 89694 111438 136202 167157 204303 302443 334314 408606 604886 612909 907329 1225818 1814658 1838727 2721987 3326873 3677454 5443974 6653746 8165961 9980619 12400163 16331922 19961238 24800326 29941857 37200489 45668893 59883714 74400978 89825571 91337786 111601467 136401793 137006679 179651142 223202934 272803586 274013358 334804401 409205379 411020037 502357823 669608802 818410758 822040074 1004715646 1227616137 1233060111 1507073469 1872424613 2455232274 2466120222 3014146938 3682848411 3744849226 4521220407 5617273839 7365696822 9042440814 11234547678 13563661221 16851821517 20596670743 27127322442 33703643034 41193341486 50555464551 61790012229 101110929102 123580024458 185370036687 370740073374 556110110061 1112220220122