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120011223012012 = 223310182971326037
BaseRepresentation
bin11011010010011001001010…
…010100010001001010101100
3120201220221221110212010011000
4123102121022110101022230
5111212230441042341022
61103124221133000300
734164344661206613
oct3322311224211254
9521827843763130
10120011223012012
113526a523782252
1211562b8b923090
1351c7018607997
14218c8077d287a
15dd1b79a976ac
hex6d264a5112ac

120011223012012 has 96 divisors (see below), whose sum is σ = 314258912533440. Its totient is φ = 39602860761600.

The previous prime is 120011223011959. The next prime is 120011223012019. The reversal of 120011223012012 is 210210322110021.

120011223012012 is a `hidden beast` number, since 1 + 200 + 112 + 230 + 120 + 1 + 2 = 666.

120011223012012 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 not an unprimeable number, because it can be changed into a prime (120011223012019) 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, 89840658 + ... + 91166694.

It is an arithmetic number, because the mean of its divisors is an integer number (3273530338890).

Almost surely, 2120011223012012 is an apocalyptic number.

120011223012012 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 120011223012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157129456266720).

120011223012012 is an abundant number, since it is smaller than the sum of its proper divisors (194247689521428).

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

120011223012012 is a wasteful number, since it uses less digits than its factorization.

120011223012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334448 (or 1334440 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120011223012012 its reverse (210210322110021), we get a palindrome (330221545122033).

The spelling of 120011223012012 in words is "one hundred twenty trillion, eleven billion, two hundred twenty-three million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1818 2727 3636 5454 8297 10908 16594 24891 33188 49782 74673 99564 149346 224019 298692 448038 837997 896076 1326037 1675994 2513991 2652074 3351988 3978111 5027982 5304148 7541973 7956222 10055964 11934333 15083946 15912444 22625919 23868666 30167892 35802999 45251838 47737332 71605998 90503676 133929737 143211996 267859474 401789211 535718948 803578422 1205367633 1607156844 2410735266 3616102899 4821470532 7232205798 11002128989 14464411596 22004257978 33006386967 44008515956 66012773934 99019160901 132025547868 198038321802 297057482703 396076643604 594114965406 1111215027889 1188229930812 2222430055778 3333645083667 4444860111556 6667290167334 10000935251001 13334580334668 20001870502002 30002805753003 40003741004004 60005611506006 120011223012012