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12130122434100 = 22352113675794677
BaseRepresentation
bin1011000010000100001110…
…1000111000011000110100
31120221121222002101122102120
42300201003220320120310
53042214442320342400
641444300141235540
72361241512316416
oct260410350703064
946847862348376
1012130122434100
1139573a0978540
12143aa95562bb0
1369cb33a61218
142dd15b4389b6
151607eb8baca0
hexb0843a38634

12130122434100 has 72 divisors (see below), whose sum is σ = 38287077366048. Its totient is φ = 2940635740800.

The previous prime is 12130122434099. The next prime is 12130122434159. The reversal of 12130122434100 is 143422103121.

It is a super-2 number, since 2×121301224341002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1837894039 + ... + 1837900638.

Almost surely, 212130122434100 is an apocalyptic number.

12130122434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12130122434100 is an abundant number, since it is smaller than the sum of its proper divisors (26156954931948).

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

12130122434100 is a wasteful number, since it uses less digits than its factorization.

12130122434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675794705 (or 3675794698 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12130122434100 its reverse (143422103121), we get a palindrome (12273544537221).

The spelling of 12130122434100 in words is "twelve trillion, one hundred thirty billion, one hundred twenty-two million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3675794677 7351589354 11027384031 14703178708 18378973385 22054768062 36757946770 40433741447 44109536124 55136920155 73515893540 80867482894 91894866925 110273840310 121301224341 161734965788 183789733850 202168707235 220547680620 242602448682 275684600775 367579467700 404337414470 485204897364 551369201550 606506121705 808674828940 1010843536175 1102738403100 1213012243410 2021687072350 2426024486820 3032530608525 4043374144700 6065061217050 12130122434100