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12101111201112 = 2336353701311317
BaseRepresentation
bin1011000000011000001001…
…1011110011110101011000
31120211212002020122022101220
42300012002123303311120
53041231033431413422
641423101310012040
72356163550025263
oct260060233636530
946755066568356
1012101111201112
11394606388582a
1214353397a7020
1369a18c4a247b
142db9a8455cda
1515eb9e9a4e5c
hexb01826f3d58

12101111201112 has 64 divisors (see below), whose sum is σ = 30264528480480. Its totient is φ = 4032137398272.

The previous prime is 12101111201087. The next prime is 12101111201119. The reversal of 12101111201112 is 21110211110121.

It is a super-2 number, since 2×121011112011122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12101111201091 and 12101111201100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101111201119) 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, 1069280478 + ... + 1069291794.

Almost surely, 212101111201112 is an apocalyptic number.

12101111201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12101111201112 is an abundant number, since it is smaller than the sum of its proper divisors (18163417279368).

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

12101111201112 is a wasteful number, since it uses less digits than its factorization.

12101111201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24692 (or 24688 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 12101111201112 its reverse (21110211110121), we get a palindrome (33211322311233).

Subtracting 12101111201112 from its reverse (21110211110121), we obtain a palindrome (9009099909009).

The spelling of 12101111201112 in words is "twelve trillion, one hundred one billion, one hundred eleven million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 6353 7013 11317 12706 14026 19059 21039 22634 25412 28052 33951 38118 42078 45268 50824 56104 67902 76236 84156 90536 135804 152472 168312 271608 44553589 71896901 79366121 89107178 133660767 143793802 158732242 178214356 215690703 238098363 267321534 287587604 317464484 356428712 431381406 476196726 534643068 575175208 634928968 862762812 952393452 1069286136 1725525624 1904786904 504212966713 1008425933426 1512638900139 2016851866852 3025277800278 4033703733704 6050555600556 12101111201112