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12000222122022 = 2332367653220841
BaseRepresentation
bin1010111010100000010011…
…1110100001000000100110
31120111012200010001001221000
42232220010332201000212
53033102423330401042
641304454222534130
72345662456014411
oct256500476410046
946435603031830
1012000222122022
1139072a15a7422
121419882137346
13690801721134
142d6b572bcb78
1515c24769974c
hexaea04fa1026

12000222122022 has 128 divisors (see below), whose sum is σ = 28285302021120. Its totient is φ = 3763262004480.

The previous prime is 12000222122017. The next prime is 12000222122027. The reversal of 12000222122022 is 22022122200021.

12000222122022 is a `hidden beast` number, since 1 + 200 + 0 + 2 + 221 + 220 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (12000222122017) and next prime (12000222122027).

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 = 12000222121986 and 12000222122004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000222122027) 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, 54228322 + ... + 54449162.

It is an arithmetic number, because the mean of its divisors is an integer number (220978922040).

Almost surely, 212000222122022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12000222122022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14142651010560).

12000222122022 is an abundant number, since it is smaller than the sum of its proper divisors (16285079899098).

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

12000222122022 is a wasteful number, since it uses less digits than its factorization.

12000222122022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221595 (or 221589 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 12000222122022 its reverse (22022122200021), we get a palindrome (34022344322043).

The spelling of 12000222122022 in words is "twelve trillion, two hundred twenty-two million, one hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 67 69 134 138 201 207 402 414 603 621 653 1206 1242 1306 1541 1809 1959 3082 3618 3918 4623 5877 9246 11754 13869 15019 17631 27738 30038 35262 41607 43751 45057 83214 87502 90114 131253 135171 220841 262506 270342 393759 405513 441682 662523 787518 811026 1006273 1181277 1325046 1987569 2012546 2362554 3018819 3975138 5079343 5962707 6037638 9056457 10158686 11925414 14796347 15238029 18112914 27169371 29592694 30476058 44389041 45714087 54338742 88778082 91428174 133167123 137142261 144209173 266334246 274284522 288418346 340315981 399501369 432627519 680631962 799002738 865255038 1020947943 1297882557 2041895886 2595765114 3062843829 3316810979 3893647671 6125687658 6633621958 7787295342 9188531487 9662014591 9950432937 18377062974 19324029182 19900865874 28986043773 29851298811 57972087546 59702597622 86958131319 89553896433 173916262638 179107792866 222226335593 260874393957 444452671186 521748787914 666679006779 1333358013558 2000037020337 4000074040674 6000111061011 12000222122022