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120120101011022 = 272171311852129717
BaseRepresentation
bin11011010011111110100011…
…111100110111111001001110
3120202022100222101000112111212
4123103332203330313321032
5111221021431324323042
61103250225042214422
734205251040012300
oct3323764374677116
9522270871015455
10120120101011022
1135301715550412
12115800b6954412
13520437a51ca78
142193bb598b970
15dd48ed410482
hex6d3fa3f37e4e

120120101011022 has 96 divisors (see below), whose sum is σ = 223640268467616. Its totient is φ = 48077730355200.

The previous prime is 120120101011021. The next prime is 120120101011037. The reversal of 120120101011022 is 220110101021021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120120101010988 and 120120101011006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120101011021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4042119308 + ... + 4042149024.

It is an arithmetic number, because the mean of its divisors is an integer number (2329586129871).

Almost surely, 2120120101011022 is an apocalyptic number.

120120101011022 is a deficient number, since it is larger than the sum of its proper divisors (103520167456594).

120120101011022 is a wasteful number, since it uses less digits than its factorization.

120120101011022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48402 (or 48395 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120120101011022 its reverse (220110101021021), we get a palindrome (340230202032043).

Subtracting 120120101011022 from its reverse (220110101021021), we obtain a palindrome (99990000009999).

The spelling of 120120101011022 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred one million, eleven thousand, twenty-two".

Divisors: 1 2 7 14 17 34 49 98 119 131 238 262 833 917 1666 1834 2227 4454 6419 12838 15589 18521 29717 31178 37042 59434 109123 129647 208019 218246 259294 314857 416038 505189 629714 907529 1010378 1456133 1815058 2203999 2426251 2912266 3536323 3892927 4407998 4852502 7072646 7785854 15427993 16983757 24754261 27250489 30855986 33967514 41246267 49508522 54500978 66179759 82492534 118886299 132359518 190753423 237772598 288723869 381506846 463258313 550388557 577447738 926516626 1100777114 2021067083 3242808191 3852719899 4042134166 6485616382 7705439798 9356605469 18713210938 26969039293 53938078586 65496238283 72100900967 130992476566 144201801934 458473667981 504706306769 916947335962 1009412613538 1225715316439 2451430632878 3532944147383 7065888294766 8580007215073 17160014430146 60060050505511 120120101011022