Search a number
-
+
122201222022 = 23411449152729
BaseRepresentation
bin111000111001111000…
…0101010101110000110
3102200102102011021110000
41301303300222232012
54000232003101042
6132045524142130
711554155151215
oct1616360525606
9380372137400
10122201222022
1147909449880
121b824b37946
13b6a6255cc9
145cb382107c
1532a336474c
hex1c73c2ab86

122201222022 has 80 divisors (see below), whose sum is σ = 299381346000. Its totient is φ = 36947957760.

The previous prime is 122201221951. The next prime is 122201222057. The reversal of 122201222022 is 220222102221.

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 = 122201221986 and 122201222004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 723754 + ... + 876482.

It is an arithmetic number, because the mean of its divisors is an integer number (3742266825).

Almost surely, 2122201222022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122201222022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149690673000).

122201222022 is an abundant number, since it is smaller than the sum of its proper divisors (177180123978).

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

122201222022 is a wasteful number, since it uses less digits than its factorization.

122201222022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153203 (or 153194 counting only the distinct ones).

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

Adding to 122201222022 its reverse (220222102221), we get a palindrome (342423324243).

The spelling of 122201222022 in words is "one hundred twenty-two billion, two hundred one million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 449 594 891 898 1347 1782 2694 4041 4939 8082 9878 12123 14817 24246 29634 36369 44451 72738 88902 133353 152729 266706 305458 400059 458187 800118 916374 1374561 1680019 2749122 3360038 4123683 5040057 8247366 10080114 12371049 15120171 24742098 30240342 45360513 68575321 90721026 136081539 137150642 205725963 272163078 411451926 617177889 754328531 1234355778 1508657062 1851533667 2262985593 3703067334 4525971186 5554601001 6788956779 11109202002 13577913558 20366870337 40733740674 61100611011 122201222022