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120101122020012 = 223717334912367401
BaseRepresentation
bin11011010011101100111000…
…101101110001001010101100
3120202020112222200200220021220
4123103230320231301022230
5111220214044214120022
61103233405504423340
734204006523160060
oct3323547055611254
9522215880626256
10120101122020012
11352a4666394581
121157849a917b50
135202644529a83
142192cd5121aa0
15dd418c12585c
hex6d3b38b712ac

120101122020012 has 96 divisors (see below), whose sum is σ = 322213336349184. Its totient is φ = 34106468928000.

The previous prime is 120101122019909. The next prime is 120101122020013. The reversal of 120101122020012 is 210020221101021.

It is a super-2 number, since 2×1201011220200122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120101122019973 and 120101122020000.

It is not an unprimeable number, because it can be changed into a prime (120101122020013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49547512 + ... + 51914912.

It is an arithmetic number, because the mean of its divisors is an integer number (3356388920304).

Almost surely, 2120101122020012 is an apocalyptic number.

120101122020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120101122020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161106668174592).

120101122020012 is an abundant number, since it is smaller than the sum of its proper divisors (202112214329172).

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

120101122020012 is a wasteful number, since it uses less digits than its factorization.

120101122020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371079 (or 2371077 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120101122020012 its reverse (210020221101021), we get a palindrome (330121343121033).

The spelling of 120101122020012 in words is "one hundred twenty trillion, one hundred one billion, one hundred twenty-two million, twenty thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 173 346 519 692 1038 1211 2076 2422 3491 3633 4844 6982 7266 10473 13964 14532 20946 24437 41892 48874 73311 97748 146622 293244 603943 1207886 1811829 2367401 2415772 3623658 4227601 4734802 7102203 7247316 8455202 9469604 12682803 14204406 16571807 16910404 25365606 28408812 33143614 49715421 50731212 66287228 99430842 198861684 409560373 819120746 1228681119 1638241492 2457362238 2866922611 4914724476 5733845222 8264596891 8600767833 11467690444 16529193782 17201535666 24793790673 33058387564 34403071332 49587581346 57852178237 99175162692 115704356474 173556534711 231408712948 347113069422 694226138844 1429775262143 2859550524286 4289325786429 5719101048572 8578651572858 10008426835001 17157303145716 20016853670002 30025280505003 40033707340004 60050561010006 120101122020012