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12111810620 = 22571354112301
BaseRepresentation
bin10110100011110101…
…11001000000111100
31011021002111201200112
423101322321000330
5144301110414440
65321502045152
7606066456140
oct132172710074
934232451615
1012111810620
11515588a648
1224202797b8
1311b0382060
1482c805220
154ad4a9965
hex2d1eb903c

12111810620 has 96 divisors (see below), whose sum is σ = 31364785536. Its totient is φ = 3825792000.

The previous prime is 12111810587. The next prime is 12111810671. The reversal of 12111810620 is 2601811121.

12111810620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 978470 + ... + 990770.

It is an arithmetic number, because the mean of its divisors is an integer number (326716516).

Almost surely, 212111810620 is an apocalyptic number.

12111810620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12111810620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15682392768).

12111810620 is an abundant number, since it is smaller than the sum of its proper divisors (19252974916).

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

12111810620 is a wasteful number, since it uses less digits than its factorization.

12111810620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12871 (or 12869 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 23.

The spelling of 12111810620 in words is "twelve billion, one hundred eleven million, eight hundred ten thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 541 910 1082 1820 2164 2705 3787 5410 7033 7574 10820 12301 14066 15148 18935 24602 28132 35165 37870 49204 49231 61505 70330 75740 86107 98462 123010 140660 159913 172214 196924 246020 246155 319826 344428 430535 492310 639652 799565 861070 984620 1119391 1599130 1722140 2238782 3198260 4477564 5596955 6654841 11193910 13309682 22387820 26619364 33274205 46583887 66548410 86512933 93167774 133096820 173025866 186335548 232919435 346051732 432564665 465838870 605590531 865129330 931677740 1211181062 1730258660 2422362124 3027952655 6055905310 12111810620