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120012211221102 = 2323710310253170633
BaseRepresentation
bin11011010010011010000101…
…001101111111001001101110
3120201221001111100100100011200
4123102122011031333021232
5111212240002033033402
61103124503153430330
734164411320641644
oct3322320515771156
9521831440310150
10120012211221102
113526a990582382
121156320686b3a6
1351c71452770a5
14218c89cb51194
15dd1bd66ea21c
hex6d268537f26e

120012211221102 has 96 divisors (see below), whose sum is σ = 269674838716608. Its totient is φ = 38541002024448.

The previous prime is 120012211221043. The next prime is 120012211221131. The reversal of 120012211221102 is 201122112210021.

120012211221102 is a `hidden beast` number, since 120 + 0 + 1 + 221 + 1 + 221 + 102 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703249978 + ... + 703420610.

It is an arithmetic number, because the mean of its divisors is an integer number (2809112903298).

Almost surely, 2120012211221102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120012211221102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134837419358304).

120012211221102 is an abundant number, since it is smaller than the sum of its proper divisors (149662627495506).

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

120012211221102 is a wasteful number, since it uses less digits than its factorization.

120012211221102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181034 (or 181031 counting only the distinct ones).

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

Adding to 120012211221102 its reverse (201122112210021), we get a palindrome (321134323431123).

The spelling of 120012211221102 in words is "one hundred twenty trillion, twelve billion, two hundred eleven million, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 74 103 111 206 222 309 333 618 666 927 1854 3811 7622 10253 11433 20506 22866 30759 34299 61518 68598 92277 170633 184554 341266 379361 511899 758722 1023798 1056059 1138083 1535697 2112118 2276166 3071394 3168177 3414249 6313421 6336354 6828498 9504531 12626842 17575199 18940263 19009062 35150398 37880526 39074183 52725597 56820789 78148366 105451194 113641578 117222549 158176791 234445098 316353582 351667647 650282363 703335294 1300564726 1749500149 1950847089 3499000298 3901694178 5248500447 5852541267 10497000894 11705082534 15745501341 31491002682 64731505513 129463011026 180198515347 194194516539 360397030694 388389033078 540595546041 582583549617 1081191092082 1165167099234 1621786638123 3243573276246 6667345067839 13334690135678 20002035203517 40004070407034 60006105610551 120012211221102