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120012300011322 = 232792931289223463
BaseRepresentation
bin11011010010011010001010…
…100000101100011100111010
3120201221001201112102100110100
4123102122022200230130322
5111212240142300330242
61103124520044500230
734164413446435365
oct3322321240543472
9521831645370410
10120012300011322
113526aa26707824
121156323054a676
1351c715a794494
14218c8aa8650dc
15dd1bde3d854c
hex6d268a82c73a

120012300011322 has 96 divisors (see below), whose sum is σ = 264422984716800. Its totient is φ = 39332200916736.

The previous prime is 120012300011291. The next prime is 120012300011333. The reversal of 120012300011322 is 223110003210021.

120012300011322 is a `hidden beast` number, since 1 + 20 + 0 + 12 + 300 + 0 + 11 + 322 = 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 = 120012300011295 and 120012300011304.

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, 536944963 + ... + 537168425.

It is an arithmetic number, because the mean of its divisors is an integer number (2754406090800).

Almost surely, 2120012300011322 is an apocalyptic number.

120012300011322 is an abundant number, since it is smaller than the sum of its proper divisors (144410684705478).

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

120012300011322 is a wasteful number, since it uses less digits than its factorization.

120012300011322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225132 (or 225129 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120012300011322 its reverse (223110003210021), we get a palindrome (343122303221343).

The spelling of 120012300011322 in words is "one hundred twenty trillion, twelve billion, three hundred million, eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 79 158 237 293 474 586 711 879 1289 1422 1758 2578 2637 3867 5274 7734 11601 23147 23202 46294 69441 101831 138882 203662 208323 223463 305493 377677 416646 446926 610986 670389 755354 916479 1133031 1340778 1832958 2011167 2266062 3399093 4022334 6798186 17653577 29836483 35307154 52960731 59672966 65474659 89509449 105921462 130949318 158882193 179018898 196423977 268528347 288043807 317764386 392847954 537056694 576087614 589271931 864131421 1178543862 1728262842 2592394263 5172498061 5184788526 10344996122 15517494183 22755460753 31034988366 45510921506 46552482549 68266382259 84396835451 93104965098 136532764518 168793670902 204799146777 253190506353 409598293554 506381012706 759571519059 1519143038118 6667350000629 13334700001258 20002050001887 40004100003774 60006150005661 120012300011322