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121002201110112 = 2537533397411307
BaseRepresentation
bin11011100000110100000101…
…001101101101011001100000
3120212102200211102222102212020
4123200310011031231121200
5111330000001441010422
61105203351020501440
734326056226104640
oct3340640515553140
9525380742872766
10121002201110112
1135611822007773
12116a30543aa880
1352695c672521a
1421c4775962520
15dec82925795c
hex6e0d0536d660

121002201110112 has 96 divisors (see below), whose sum is σ = 369855784634112. Its totient is φ = 33919754479104.

The previous prime is 121002201110099. The next prime is 121002201110117. The reversal of 121002201110112 is 211011102200121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 121002201110091 and 121002201110100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121002201110117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1698670038 + ... + 1698741269.

It is an arithmetic number, because the mean of its divisors is an integer number (3852664423272).

Almost surely, 2121002201110112 is an apocalyptic number.

121002201110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121002201110112 is an abundant number, since it is smaller than the sum of its proper divisors (248853583524000).

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

121002201110112 is a wasteful number, since it uses less digits than its factorization.

121002201110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397411380 (or 3397411372 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121002201110112 its reverse (211011102200121), we get a palindrome (332013303310233).

The spelling of 121002201110112 in words is "one hundred twenty-one trillion, two billion, two hundred one million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 159 168 212 224 318 336 371 424 636 672 742 848 1113 1272 1484 1696 2226 2544 2968 4452 5088 5936 8904 11872 17808 35616 3397411307 6794822614 10192233921 13589645228 20384467842 23781879149 27179290456 40768935684 47563758298 54358580912 71345637447 81537871368 95127516596 108717161824 142691274894 163075742736 180062799271 190255033192 285382549788 326151485472 360125598542 380510066384 540188397813 570765099576 720251197084 761020132768 1080376795626 1141530199152 1260439594897 1440502394168 2160753591252 2283060398304 2520879189794 2881004788336 3781318784691 4321507182504 5041758379588 5762009576672 7562637569382 8643014365008 10083516759176 15125275138764 17286028730016 20167033518352 30250550277528 40334067036704 60501100555056 121002201110112