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12042212331042 = 232739164545153
BaseRepresentation
bin1010111100111100101111…
…0010011100111000100010
31120122020001111000200221200
42233033023302130320202
53034244422324043132
641340041014502030
72352010150631025
oct257171362347042
946566044020850
1012042212331042
113923089a14a03
121425a40664916
13694763c0036a
142d8bbbd171bc
1515d3a3c5cd7c
hexaf3cbc9ce22

12042212331042 has 24 divisors (see below), whose sum is σ = 26448877314444. Its totient is φ = 3959083505664.

The previous prime is 12042212331041. The next prime is 12042212331043. The reversal of 12042212331042 is 24013321224021.

12042212331042 is a `hidden beast` number, since 1 + 2 + 0 + 422 + 1 + 233 + 1 + 0 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (12042212331041) and next prime (12042212331043).

It can be written as a sum of positive squares in 2 ways, for example, as 11726234560881 + 315977770161 = 3424359^2 + 562119^2 .

It is a super-3 number, since 3×120422123310423 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12042212330997 and 12042212331015.

It is not an unprimeable number, because it can be changed into a prime (12042212331041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4582271263 + ... + 4582273890.

Almost surely, 212042212331042 is an apocalyptic number.

12042212331042 is an abundant number, since it is smaller than the sum of its proper divisors (14406664983402).

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

12042212331042 is a wasteful number, since it uses less digits than its factorization.

12042212331042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9164545234 (or 9164545231 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12042212331042 its reverse (24013321224021), we get a palindrome (36055533555063).

The spelling of 12042212331042 in words is "twelve trillion, forty-two billion, two hundred twelve million, three hundred thirty-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 9164545153 18329090306 27493635459 54987270918 82480906377 164961812754 669011796169 1338023592338 2007035388507 4014070777014 6021106165521 12042212331042