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12011000021010 = 2335672731243119
BaseRepresentation
bin1010111011001000011101…
…1000111100000000010010
31120112020111020120001212000
42232302013120330000102
53033242012001133020
641313435514414430
72346523530443424
oct256620730740022
946466436501760
1012011000021010
113910922427461
12141b98b731416
1369182b623963
142d749a896814
1515c6789b6090
hexaec8763c012

12011000021010 has 128 divisors (see below), whose sum is σ = 32519420006400. Its totient is φ = 3153960089280.

The previous prime is 12011000020997. The next prime is 12011000021021. The reversal of 12011000021010 is 1012000011021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12011000020983 and 12011000021001.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 49282231 + ... + 49525349.

It is an arithmetic number, because the mean of its divisors is an integer number (254057968800).

Almost surely, 212011000021010 is an apocalyptic number.

12011000021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011000021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16259710003200).

12011000021010 is an abundant number, since it is smaller than the sum of its proper divisors (20508419985390).

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

12011000021010 is a wasteful number, since it uses less digits than its factorization.

12011000021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245933 (or 245927 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12011000021010 its reverse (1012000011021), we get a palindrome (13023000032031).

The spelling of 12011000021010 in words is "twelve trillion, eleven billion, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 90 134 135 201 270 335 402 603 670 1005 1206 1809 2010 2731 3015 3618 5462 6030 8193 9045 13655 16386 18090 24579 27310 40965 49158 73737 81930 122895 147474 182977 243119 245790 365954 368685 486238 548931 729357 737370 914885 1097862 1215595 1458714 1646793 1829770 2188071 2431190 2744655 3293586 3646785 4376142 4940379 5489310 6564213 7293570 8233965 9880758 10940355 13128426 16288973 16467930 21880710 24701895 32577946 32821065 48866919 49403790 65642130 81444865 97733838 146600757 162889730 244334595 293201514 439802271 488669190 663957989 733003785 879604542 1327915978 1466007570 1991873967 2199011355 3319789945 3983747934 4398022710 5975621901 6639579890 9959369835 11951243802 17926865703 19918739670 29878109505 35853731406 44485185263 59756219010 88970370526 89634328515 133455555789 179268657030 222425926315 266911111578 400366667367 444851852630 667277778945 800733334734 1201100002101 1334555557890 2001833336835 2402200004202 4003666673670 6005500010505 12011000021010