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12202111131012 = 223211659197923627
BaseRepresentation
bin1011000110010000011001…
…1111111101110110000100
31121012111210002211100121100
42301210012133331312010
53044404410422143022
641541323353020100
72366400455203305
oct261440637756604
947174702740540
1012202111131012
113984982696a80
121450a263b4630
136a68671c61ba
1430282a2067ac
151626118aa1ac
hexb19067fdd84

12202111131012 has 144 divisors (see below), whose sum is σ = 33717760876800. Its totient is φ = 3689976722880.

The previous prime is 12202111130987. The next prime is 12202111131013. The reversal of 12202111131012 is 21013111120221.

It is a happy number.

12202111131012 is a `hidden beast` number, since 1 + 220 + 21 + 111 + 310 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12202111131013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 516435943 + ... + 516459569.

It is an arithmetic number, because the mean of its divisors is an integer number (234151117200).

Almost surely, 212202111131012 is an apocalyptic number.

12202111131012 is a gapful number since it is divisible by the number (12) 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 12202111131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16858880438400).

12202111131012 is an abundant number, since it is smaller than the sum of its proper divisors (21515649745788).

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

12202111131012 is a wasteful number, since it uses less digits than its factorization.

12202111131012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26286 (or 26281 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12202111131012 its reverse (21013111120221), we get a palindrome (33215222251233).

The spelling of 12202111131012 in words is "twelve trillion, two hundred two billion, one hundred eleven million, one hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 659 1318 1977 1979 2636 3954 3958 5931 5937 7249 7908 7916 11862 11874 14498 17811 21747 21769 23627 23724 23748 28996 35622 43494 43538 47254 65241 65307 70881 71244 86988 87076 94508 130482 130614 141762 195921 212643 259897 260964 261228 283524 391842 425286 519794 779691 783684 850572 1039588 1304161 1559382 2339073 2608322 3118764 3912483 4678146 5216644 7824966 9356292 11737449 14345771 15570193 15649932 23474898 28691542 31140386 43037313 46710579 46757833 46949796 57383084 62280772 86074626 93421158 93515666 129111939 140131737 140273499 171272123 172149252 186842316 187031332 258223878 280263474 280546998 342544246 420820497 513816369 514336163 516447756 560526948 561093996 685088492 841640994 1027632738 1028672326 1541449107 1543008489 1683281988 2055265476 2057344652 3082898214 3086016978 4629025467 6165796428 6172033956 9258050934 18516101868 30813411947 61626823894 92440235841 123253647788 184880471682 277320707523 338947531417 369760943364 554641415046 677895062834 1016842594251 1109282830092 1355790125668 2033685188502 3050527782753 4067370377004 6101055565506 12202111131012