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12411442342120 = 2351945735734891
BaseRepresentation
bin1011010010011100001110…
…0111001010100011101000
31121221112002202102200100011
42310213003213022203220
53111322113214421440
642221423215221304
72420461053142363
oct264470347124350
947845082380304
1012411442342120
113a55732700198
121485506b17834
136c05177a0763
1430ca076b90da
15167cb41329ea
hexb49c39ca8e8

12411442342120 has 64 divisors (see below), whose sum is σ = 29459844964800. Its totient is φ = 4692991633920.

The previous prime is 12411442342099. The next prime is 12411442342207. The reversal of 12411442342120 is 2124324411421.

It is a super-2 number, since 2×124114423421202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17520126 + ... + 18214765.

It is an arithmetic number, because the mean of its divisors is an integer number (460310077575).

Almost surely, 212411442342120 is an apocalyptic number.

12411442342120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12411442342120 is an abundant number, since it is smaller than the sum of its proper divisors (17048402622680).

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

12411442342120 is a wasteful number, since it uses less digits than its factorization.

12411442342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35735378 (or 35735374 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 12411442342120 its reverse (2124324411421), we get a palindrome (14535766753541).

The spelling of 12411442342120 in words is "twelve trillion, four hundred eleven billion, four hundred forty-two million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 457 760 914 1828 2285 3656 4570 8683 9140 17366 18280 34732 43415 69464 86830 173660 347320 35734891 71469782 142939564 178674455 285879128 357348910 678962929 714697820 1357925858 1429395640 2715851716 3394814645 5431703432 6789629290 13579258580 16330845187 27158517160 32661690374 65323380748 81654225935 130646761496 163308451870 310286058553 326616903740 620572117106 653233807480 1241144234212 1551430292765 2482288468424 3102860585530 6205721171060 12411442342120