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120110202022122 = 232132381472739293
BaseRepresentation
bin11011010011110101010101…
…111011001110100011101010
3120202021102102111022210120100
4123103311111323032203222
5111220341143204201442
61103241510504410230
734204450530003324
oct3323652573164352
9522242374283510
10120110202022122
11352a84a5858554
121157a1b3776976
13520346073b3a0
142193517000614
15dd451e35684c
hex6d3d55ece8ea

120110202022122 has 96 divisors (see below), whose sum is σ = 292478233477248. Its totient is φ = 35345807849088.

The previous prime is 120110202022103. The next prime is 120110202022127. The reversal of 120110202022122 is 221220202011021.

It is a happy number.

120110202022122 is a `hidden beast` number, since 120 + 110 + 20 + 202 + 212 + 2 = 666.

120110202022122 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 120110202022095 and 120110202022104.

It is not an unprimeable number, because it can be changed into a prime (120110202022127) 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, 42477508 + ... + 45216800.

It is an arithmetic number, because the mean of its divisors is an integer number (3046648265388).

Almost surely, 2120110202022122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120110202022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146239116738624).

120110202022122 is an abundant number, since it is smaller than the sum of its proper divisors (172368031455126).

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

120110202022122 is a wasteful number, since it uses less digits than its factorization.

120110202022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747484 (or 2747481 counting only the distinct ones).

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

Adding to 120110202022122 its reverse (221220202011021), we get a palindrome (341330404033143).

The spelling of 120110202022122 in words is "one hundred twenty trillion, one hundred ten billion, two hundred two million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 598 897 1794 2691 5382 8147 16294 24441 48882 73323 105911 146646 187381 211822 317733 374762 562143 635466 953199 1124286 1686429 1906398 2435953 2739293 3372858 4871906 5478586 7307859 8217879 14615718 16435758 21923577 24653637 35610809 43847154 49307274 63003739 71221618 106832427 126007478 189011217 213664854 320497281 378022434 567033651 640994562 819048607 1134067302 1638097214 2457145821 4914291642 7371437463 14742874926 22317020071 44634040142 66951060213 133902120426 200853180639 290121260923 401706361278 513291461633 580242521846 870363782769 1026582923266 1539874384899 1740727565538 2611091348307 3079748769798 4619623154697 5222182696614 6672789001229 9239246309394 13345578002458 20018367003687 40036734007374 60055101011061 120110202022122