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220112212122 = 232113743698729
BaseRepresentation
bin1100110011111110110…
…1011101000010011010
3210001010222221220211200
43030333231131002122
512101242211241442
6245041304335030
721621404634645
oct3147755350232
9701128856750
10220112212122
1185392672910
12367ab174476
13179ab024cca
14a921256a5c
155ad3ea834c
hex333fb5d09a

220112212122 has 96 divisors (see below), whose sum is σ = 546753430080. Its totient is φ = 63388604160.

The previous prime is 220112212097. The next prime is 220112212127. The reversal of 220112212122 is 221212211022.

It is a happy number.

220112212122 is a `hidden beast` number, since 220 + 11 + 221 + 212 + 2 = 666.

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 = 220112212095 and 220112212104.

It is not an unprimeable number, because it can be changed into a prime (220112212127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34347 + ... + 664382.

It is an arithmetic number, because the mean of its divisors is an integer number (5695348230).

Almost surely, 2220112212122 is an apocalyptic number.

220112212122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220112212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273376715040).

220112212122 is an abundant number, since it is smaller than the sum of its proper divisors (326641217958).

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

220112212122 is a wasteful number, since it uses less digits than its factorization.

220112212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698828 (or 698825 counting only the distinct ones).

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

Adding to 220112212122 its reverse (221212211022), we get a palindrome (441324423144).

It can be divided in two parts, 220112 and 212122, that added together give a palindrome (432234).

The spelling of 220112212122 in words is "two hundred twenty billion, one hundred twelve million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 43 66 74 86 99 111 129 198 222 258 333 387 407 473 666 774 814 946 1221 1419 1591 2442 2838 3182 3663 4257 4773 7326 8514 9546 14319 17501 28638 35002 52503 105006 157509 315018 698729 1397458 2096187 4192374 6288561 7686019 12577122 15372038 23058057 25852973 30045347 46116114 51705946 60090694 69174171 77558919 90136041 138348342 155117838 180272082 232676757 270408123 284382703 330498817 465353514 540816246 568765406 660997634 853148109 991496451 1111677839 1706296218 1982992902 2223355678 2559444327 2974489353 3335033517 5118888654 5948978706 6670067034 10005100551 12228456229 20010201102 24456912458 36685368687 73370737374 110056106061 220112212122