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11112012112012 = 2272372861535571
BaseRepresentation
bin1010000110110011011110…
…0010001110000010001100
31110100022001020012112110121
42201230313202032002030
52424024400100041022
635344442103514324
72224550006342500
oct241546742160214
943308036175417
1011112012112012
1135a463a169609
1212b56ba4589a4
13627b20749286
142a5b77a88300
151440b02582c7
hexa1b3788e08c

11112012112012 has 72 divisors (see below), whose sum is σ = 23240420704368. Its totient is φ = 4631952124800.

The previous prime is 11112012112007. The next prime is 11112012112013. The reversal of 11112012112012 is 21021121021111.

It is not an unprimeable number, because it can be changed into a prime (11112012112013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20480187 + ... + 21015757.

It is an arithmetic number, because the mean of its divisors is an integer number (322783620894).

Almost surely, 211112012112012 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 11112012112012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11620210352184).

11112012112012 is an abundant number, since it is smaller than the sum of its proper divisors (12128408592356).

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

11112012112012 is a wasteful number, since it uses less digits than its factorization.

11112012112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538487 (or 538478 counting only the distinct ones).

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

Adding to 11112012112012 its reverse (21021121021111), we get a palindrome (32133133133123).

The spelling of 11112012112012 in words is "eleven trillion, one hundred twelve billion, twelve million, one hundred twelve thousand, twelve".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 259 518 1036 1813 2861 3626 5722 7252 11444 20027 40054 80108 105857 140189 211714 280378 423428 535571 560756 740999 1071142 1481998 2142284 2963996 3748997 5186993 7497994 10373986 14995988 19816127 20747972 26242979 39632254 52485958 79264508 104971916 138712889 277425778 554851556 970990223 1532268631 1941980446 3064537262 3883960892 6129074524 10725880417 21451760834 42903521668 56693939347 75081162919 113387878694 150162325838 226775757388 300324651676 396857575429 793715150858 1587430301716 2778003028003 5556006056006 11112012112012