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1212220120113 = 3217293741180097
BaseRepresentation
bin10001101000111101111…
…100110001110000110001
311021212221201000112100200
4101220331330301300301
5124330111322320423
62324515232105413
7153402642003252
oct21507574616061
94255851015320
101212220120113
11428110723212
12176b2a095269
138a40922c802
1442959484b29
15217ec93bd43
hex11a3df31c31

1212220120113 has 96 divisors (see below), whose sum is σ = 2017803584160. Its totient is φ = 697101189120.

The previous prime is 1212220120087. The next prime is 1212220120159. The reversal of 1212220120113 is 3110210222121.

1212220120113 is a `hidden beast` number, since 1 + 212 + 220 + 120 + 113 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 248793459264 + 963426660849 = 498792^2 + 981543^2 .

It is not a de Polignac number, because 1212220120113 - 25 = 1212220120081 is a prime.

It is a super-2 number, since 2×12122201201132 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1212220120193) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6640881 + ... + 6820977.

It is an arithmetic number, because the mean of its divisors is an integer number (21018787335).

Almost surely, 21212220120113 is an apocalyptic number.

It is an amenable number.

1212220120113 is a deficient number, since it is larger than the sum of its proper divisors (805583464047).

1212220120113 is a wasteful number, since it uses less digits than its factorization.

1212220120113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180227 (or 180224 counting only the distinct ones).

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

Adding to 1212220120113 its reverse (3110210222121), we get a palindrome (4322430342234).

The spelling of 1212220120113 in words is "one trillion, two hundred twelve billion, two hundred twenty million, one hundred twenty thousand, one hundred thirteen".

Divisors: 1 3 9 17 29 37 41 51 87 111 123 153 261 333 369 493 629 697 1073 1189 1479 1517 1887 2091 3219 3567 4437 4551 5661 6273 9657 10701 13653 18241 20213 25789 43993 54723 60639 77367 131979 164169 180097 181917 232101 395937 540291 747881 1620873 2243643 3061649 5222813 6663589 6730929 7383977 9184947 15668439 19990767 22151931 27554841 47005317 59972301 66455793 88787821 113281013 125527609 193244081 214135333 266363463 273207149 339843039 376582827 579732243 642405999 799090389 819621447 1019529117 1129748481 1739196729 1927217997 2458864341 3285149377 3640300661 4644521533 7923007321 9855448131 10920901983 13933564599 23769021963 29566344393 32762705949 41800693797 71307065889 134691124457 404073373371 1212220120113