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12011012110120 = 2351049439765101
BaseRepresentation
bin1010111011001000100000…
…0111000011011100101000
31120112020112002022020222211
42232302020013003130220
53033242023100010440
641313441025454504
72346524035263562
oct256621007033450
946466462266884
1012011012110120
113910929234161
12141b9937a1434
13691830c9738a
142d749c322332
1515c679aa2eea
hexaec881c3728

12011012110120 has 64 divisors (see below), whose sum is σ = 27057107322000. Its totient is φ = 4798659532800.

The previous prime is 12011012110117. The next prime is 12011012110127. The reversal of 12011012110120 is 2101121011021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9855970494084 + 2155041616036 = 3139422^2 + 1468006^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12011012110120.

It is not an unprimeable number, because it can be changed into a prime (12011012110127) 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 15 ways as a sum of consecutive naturals, for example, 184465570 + ... + 184530670.

Almost surely, 212011012110120 is an apocalyptic number.

12011012110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011012110120 is an abundant number, since it is smaller than the sum of its proper divisors (15046095211880).

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

12011012110120 is a wasteful number, since it uses less digits than its factorization.

12011012110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70558 (or 70554 counting only the distinct ones).

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

Adding to 12011012110120 its reverse (2101121011021), we get a palindrome (14112133121141).

The spelling of 12011012110120 in words is "twelve trillion, eleven billion, twelve million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1049 2098 4196 4397 5245 8392 8794 10490 17588 20980 21985 35176 41960 43970 65101 87940 130202 175880 260404 325505 520808 651010 1302020 2604040 4612453 9224906 18449812 23062265 36899624 46124530 68290949 92249060 136581898 184498120 273163796 286249097 341454745 546327592 572498194 682909490 1144996388 1365818980 1431245485 2289992776 2731637960 2862490970 5724981940 11449963880 300275302753 600550605506 1201101211012 1501376513765 2402202422024 3002753027530 6005506055060 12011012110120