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12211121120202 = 23223371777448607
BaseRepresentation
bin1011000110110001111110…
…0010010110001111001010
31121020101001000201020012200
42301230133202112033022
53100031334001321302
641545413412221030
72400136651640334
oct261543742261712
947211030636180
1012211121120202
113988786590234
12145271b90a776
136a7671a63154
14303042a9c454
1516298c8ab81c
hexb1b1f8963ca

12211121120202 has 96 divisors (see below), whose sum is σ = 28369926853632. Its totient is φ = 3786033664512.

The previous prime is 12211121120167. The next prime is 12211121120203. The reversal of 12211121120202 is 20202112111221.

12211121120202 is a `hidden beast` number, since 1 + 221 + 1 + 121 + 120 + 202 = 666.

It is a super-2 number, since 2×122111211202022 (a number of 27 digits) contains 22 as substring.

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 (12211121120203) 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, 26995783 + ... + 27444389.

It is an arithmetic number, because the mean of its divisors is an integer number (295520071392).

Almost surely, 212211121120202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12211121120202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14184963426816).

12211121120202 is an abundant number, since it is smaller than the sum of its proper divisors (16158805733430).

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

12211121120202 is a wasteful number, since it uses less digits than its factorization.

12211121120202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450452 (or 450449 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12211121120202 its reverse (20202112111221), we get a palindrome (32413233231423).

The spelling of 12211121120202 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 333 414 666 851 1702 1777 2553 3554 5106 5331 7659 10662 15318 15993 31986 40871 65749 81742 122613 131498 197247 245226 367839 394494 448607 591741 735678 897214 1183482 1345821 1512227 2691642 3024454 4037463 4536681 8074926 9073362 10317961 13610043 16598459 20635922 27220086 30953883 33196918 49795377 61907766 92861649 99590754 149386131 185723298 298772262 381764557 763529114 797174639 1145293671 1594349278 2290587342 2391523917 3435881013 4783047834 6871762026 7174571751 14349143502 18335016697 29495461643 36670033394 55005050091 58990923286 88486384929 110010100182 165015150273 176972769858 265459154787 330030300546 530918309574 678395617789 1356791235578 2035186853367 4070373706734 6105560560101 12211121120202