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120011021220012 = 223136179393158849
BaseRepresentation
bin11011010010011000111110…
…010010011111100010101100
3120201220221102102011000120020
4123102120332102133202230
5111212230032413020022
61103124145123522140
734164336661050006
oct3322307622374254
9521827372130506
10120011021220012
113526a42a8859aa
1211562b34229350
1351c6cb5873b30
14218c7c8aa5376
15dd1b66ed735c
hex6d263e49f8ac

120011021220012 has 96 divisors (see below), whose sum is σ = 306515653617600. Its totient is φ = 36320429998080.

The previous prime is 120011021220011. The next prime is 120011021220019. The reversal of 120011021220012 is 210022120110021.

It is a junction number, because it is equal to n+sod(n) for n = 120011021219973 and 120011021220000.

It is not an unprimeable number, because it can be changed into a prime (120011021220011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 755424364 + ... + 755583212.

It is an arithmetic number, because the mean of its divisors is an integer number (3192871391850).

Almost surely, 2120011021220012 is an apocalyptic number.

120011021220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120011021220012 is an abundant number, since it is smaller than the sum of its proper divisors (186504632397588).

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

120011021220012 is a wasteful number, since it uses less digits than its factorization.

120011021220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238323 (or 238321 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120011021220012 its reverse (210022120110021), we get a palindrome (330033141330033).

The spelling of 120011021220012 in words is "one hundred twenty trillion, eleven billion, twenty-one million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 366 732 793 1586 2379 3172 4758 9516 79393 158786 158849 238179 317572 317698 476358 476547 635396 952716 953094 1032109 1906188 2064218 2065037 3096327 4128436 4130074 4842973 6192654 6195111 8260148 9685946 9689789 12385308 12390222 14528919 19371892 19379578 24780444 29057838 29069367 38759156 58115676 58138734 62958649 116277468 125917298 125967257 188875947 251834596 251934514 377751894 377901771 503869028 755503788 755803542 1511607084 12611498657 25222997314 37834495971 50445994628 75668991942 151337983884 163949482541 327898965082 491848447623 655797930164 769301418077 983696895246 1538602836154 1967393790492 2307904254231 3077205672308 4615808508462 9231617016924 10000918435001 20001836870002 30002755305003 40003673740004 60005510610006 120011021220012