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120120110010112 = 285910637481531
BaseRepresentation
bin11011010011111110100100…
…011111001100111100000000
3120202022100222222221201221111
4123103332210133030330000
5111221021441130310422
61103250230003133104
734205251206342562
oct3323764437147400
9522270888851844
10120120110010112
113530171a637583
12115800b9974194
13520437c350b84
142193bb6c51332
15dd48ee0dba77
hex6d3fa47ccf00

120120110010112 has 72 divisors (see below), whose sum is σ = 244064332471680. Its totient is φ = 58986537200640.

The previous prime is 120120110010107. The next prime is 120120110010127. The reversal of 120120110010112 is 211010011021021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120120110010092 and 120120110010101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12314787 + ... + 19796317.

It is an arithmetic number, because the mean of its divisors is an integer number (3389782395440).

Almost surely, 2120120110010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120120110010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122032166235840).

120120110010112 is an abundant number, since it is smaller than the sum of its proper divisors (123944222461568).

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

120120110010112 is an equidigital number, since it uses as much as digits as its factorization.

120120110010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482669 (or 7482655 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 120120110010112 its reverse (211010011021021), we get a palindrome (331130121031133).

The spelling of 120120110010112 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred ten million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 944 1063 1888 2126 3776 4252 7552 8504 15104 17008 34016 62717 68032 125434 136064 250868 272128 501736 1003472 2006944 4013888 7481531 8027776 14963062 16055552 29926124 59852248 119704496 239408992 441410329 478817984 882820658 957635968 1765641316 1915271936 3531282632 7062565264 7952867453 14125130528 15905734906 28250261056 31811469812 56500522112 63622939624 113001044224 127245879248 254491758496 469219179727 508983516992 938438359454 1017967033984 1876876718908 2035934067968 3753753437816 7507506875632 15015013751264 30030027502528 60060055005056 120120110010112