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11122012120122 = 23217431204170199
BaseRepresentation
bin1010000111011000101110…
…0101001110010000111010
31110101020212010222120201100
42201312023211032100322
52424210340100320442
635353214250432230
72225352554120211
oct241661345162072
943336763876640
1011122012120122
1135a8900989722
1212b762b432676
13628a5543a337
142a6445c10078
1514449811884c
hexa1d8b94e43a

11122012120122 has 96 divisors (see below), whose sum is σ = 26111121379200. Its totient is φ = 3407781565440.

The previous prime is 11122012120091. The next prime is 11122012120129. The reversal of 11122012120122 is 22102121022111.

11122012120122 is a `hidden beast` number, since 111 + 220 + 1 + 212 + 0 + 122 = 666.

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 = 11122012120095 and 11122012120104.

It is not an unprimeable number, because it can be changed into a prime (11122012120129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158400379 + ... + 158470577.

It is an arithmetic number, because the mean of its divisors is an integer number (271990847700).

Almost surely, 211122012120122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122012120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13055560689600).

11122012120122 is an abundant number, since it is smaller than the sum of its proper divisors (14989109259078).

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

11122012120122 is a wasteful number, since it uses less digits than its factorization.

11122012120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82308 (or 82305 counting only the distinct ones).

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

Adding to 11122012120122 its reverse (22102121022111), we get a palindrome (33224133142233).

It can be divided in two parts, 1112201 and 2120122, that added together give a palindrome (3232323).

The spelling of 11122012120122 in words is "eleven trillion, one hundred twenty-two billion, twelve million, one hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 43 51 86 102 129 153 258 306 387 731 774 1462 2193 4386 6579 12041 13158 24082 36123 70199 72246 108369 140398 204697 210597 216738 409394 421194 517763 614091 631791 1035526 1193383 1228182 1263582 1553289 1842273 2386766 3018557 3106578 3580149 3684546 4659867 6037114 7160298 8801971 9055671 9319734 10740447 17603942 18111342 21480894 26405913 27167013 51315469 52811826 54334026 79217739 102630938 153946407 158435478 307892814 461839221 845266159 923678442 1690532318 2535798477 5071596954 7607395431 14369524703 15214790862 28739049406 36346444837 43108574109 72692889674 86217148218 109039334511 129325722327 218078669022 258651444654 327118003533 617889562229 654236007066 1235779124458 1853668686687 3707337373374 5561006060061 11122012120122