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120200111121222 = 2321113142111007439
BaseRepresentation
bin11011010101001001000100…
…111011001110001101000110
3120202121000111102011021002200
4123111021010323032031012
5111223324311421334342
61103351100240415330
734214112543512556
oct3325110473161506
9522530442137080
10120200111121222
1135332643132430
1211593706017546
13520ba8b784642
142197a05bd9166
15dd6a3272994c
hex6d5244ece346

120200111121222 has 96 divisors (see below), whose sum is σ = 286958148871680. Its totient is φ = 36060366888000.

The previous prime is 120200111121187. The next prime is 120200111121239. The reversal of 120200111121222 is 222121111002021.

120200111121222 is a `hidden beast` number, since 12 + 0 + 200 + 111 + 121 + 222 = 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 = 120200111121195 and 120200111121204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5416179 + ... + 16423617.

It is an arithmetic number, because the mean of its divisors is an integer number (2989147384080).

Almost surely, 2120200111121222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120200111121222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143479074435840).

120200111121222 is an abundant number, since it is smaller than the sum of its proper divisors (166758037750458).

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

120200111121222 is a wasteful number, since it uses less digits than its factorization.

120200111121222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11008010 (or 11008007 counting only the distinct ones).

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

Adding to 120200111121222 its reverse (222121111002021), we get a palindrome (342321222123243).

The spelling of 120200111121222 in words is "one hundred twenty trillion, two hundred billion, one hundred eleven million, one hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 131 198 262 393 421 786 842 1179 1263 1441 2358 2526 2882 3789 4323 4631 7578 8646 9262 12969 13893 25938 27786 41679 55151 83358 110302 165453 330906 496359 606661 992718 1213322 1819983 3639966 5459949 10919898 11007439 22014878 33022317 66044634 99066951 121081829 198133902 242163658 363245487 726490974 1089736461 1441974509 2179472922 2883949018 4325923527 4634131819 8651847054 9268263638 12977770581 13902395457 15861719599 25955541162 27804790914 31723439198 41707186371 47585158797 50975450009 83414372742 95170317594 101950900018 142755476391 152926350027 285510952782 305852700054 458779050081 607071268289 917558100162 1214142536578 1821213804867 3642427609734 5463641414601 6677783951179 10927282829202 13355567902358 20033351853537 40066703707074 60100055560611 120200111121222