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12011012213202 = 23229101253190011
BaseRepresentation
bin1010111011001000100000…
…0111011100100111010010
31120112020112002111111101200
42232302020013130213102
53033242023111310302
641313441032012030
72346524036203242
oct256621007344722
946466462444350
1012011012213202
1139109292a4652
12141b993831016
13691831002282
142d749c34bb22
1515c679ac381c
hexaec881dc9d2

12011012213202 has 96 divisors (see below), whose sum is σ = 27198825226560. Its totient is φ = 3825785040000.

The previous prime is 12011012213147. The next prime is 12011012213209. The reversal of 12011012213202 is 20231221011021.

12011012213202 is a `hidden beast` number, since 1 + 20 + 1 + 101 + 221 + 320 + 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 (12011012213209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133394377 + ... + 133484387.

It is an arithmetic number, because the mean of its divisors is an integer number (283321096110).

Almost surely, 212011012213202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12011012213202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13599412613280).

12011012213202 is an abundant number, since it is smaller than the sum of its proper divisors (15187813013358).

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

12011012213202 is a wasteful number, since it uses less digits than its factorization.

12011012213202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92680 (or 92677 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 12011012213202 its reverse (20231221011021), we get a palindrome (32242233224223).

The spelling of 12011012213202 in words is "twelve trillion, eleven billion, twelve million, two hundred thirteen thousand, two hundred two".

Divisors: 1 2 3 6 9 18 29 58 87 101 174 202 261 303 522 606 909 1818 2531 2929 5062 5858 7593 8787 15186 17574 22779 26361 45558 52722 73399 90011 146798 180022 220197 255631 270033 440394 511262 540066 660591 766893 810099 1321182 1533786 1620198 2300679 2610319 4601358 5220638 7413299 7830957 9091111 14826598 15661914 18182222 22239897 23492871 27273333 44479794 46985742 54546666 66719691 81819999 133439382 163639998 227817841 263642219 455635682 527284438 683453523 790926657 1366907046 1581853314 2050360569 2372779971 4100721138 4745559942 6606717389 13213434778 19820152167 23009601941 39640304334 46019203882 59460456501 69028805823 118920913002 138057611646 207086417469 414172834938 667278456289 1334556912578 2001835368867 4003670737734 6005506106601 12011012213202