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12110012122122 = 233653994934519
BaseRepresentation
bin1011000000111001010011…
…1110001000010000001010
31120212201001120021221121000
42300032110332020100022
53041402301100401442
641431132431355430
72356630250431305
oct260162476102012
946781046257530
1012110012122122
1139499111544a2
121437002682b76
1369ac7a572235
142dc1b0639b3c
1516002110ed4c
hexb0394f8840a

12110012122122 has 64 divisors (see below), whose sum is σ = 26955839520000. Its totient is φ = 4029967111104.

The previous prime is 12110012122099. The next prime is 12110012122123. The reversal of 12110012122122 is 22122121001121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12110012122095 and 12110012122104.

It is not an unprimeable number, because it can be changed into a prime (12110012122123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350804379 + ... + 350838897.

It is an arithmetic number, because the mean of its divisors is an integer number (421184992500).

Almost surely, 212110012122122 is an apocalyptic number.

12110012122122 is an abundant number, since it is smaller than the sum of its proper divisors (14845827397878).

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

12110012122122 is a wasteful number, since it uses less digits than its factorization.

12110012122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45132 (or 45126 counting only the distinct ones).

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

Adding to 12110012122122 its reverse (22122121001121), we get a palindrome (34232133123243).

The spelling of 12110012122122 in words is "twelve trillion, one hundred ten billion, twelve million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 653 1306 1959 3918 5877 9949 11754 17631 19898 29847 34519 35262 59694 69038 89541 103557 179082 207114 268623 310671 537246 621342 932013 1864026 6496697 12993394 19490091 22540907 38980182 45081814 58470273 67622721 116940546 135245442 175410819 202868163 343429531 350821638 405736326 608604489 686859062 1030288593 1217208978 2060577186 3090865779 6181731558 9272597337 18545194674 224259483743 448518967486 672778451229 1345556902458 2018335353687 4036670707374 6055006061061 12110012122122