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120011021302312 = 23779151587306049
BaseRepresentation
bin11011010010011000111110…
…010010110011101000101000
3120201220221102102022012110101
4123102120332102303220220
5111212230032423133222
61103124145125355144
734164336661541650
oct3322307622635050
9521827372265411
10120011021302312
113526a42a931818
1211562b34268ab4
1351c6cb58a242a
14218c7c8ac7360
15dd1b67001927
hex6d263e4b3a28

120011021302312 has 128 divisors (see below), whose sum is σ = 262593838080000. Its totient is φ = 50359831142400.

The previous prime is 120011021302303. The next prime is 120011021302363. The reversal of 120011021302312 is 213203120110021.

It is a self number, because there is not a number n which added to its sum of digits gives 120011021302312.

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 31 ways as a sum of consecutive naturals, for example, 391977064 + ... + 392283112.

It is an arithmetic number, because the mean of its divisors is an integer number (2051514360000).

Almost surely, 2120011021302312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120011021302312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131296919040000).

120011021302312 is an abundant number, since it is smaller than the sum of its proper divisors (142582816777688).

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

120011021302312 is a wasteful number, since it uses less digits than its factorization.

120011021302312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306879 (or 306875 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 120011021302312 its reverse (213203120110021), we get a palindrome (333214141412333).

The spelling of 120011021302312 in words is "one hundred twenty trillion, eleven billion, twenty-one million, three hundred two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 79 151 158 302 316 553 587 604 632 1057 1106 1174 1208 2114 2212 2348 4109 4228 4424 4696 8218 8456 11929 16436 23858 32872 46373 47716 83503 88637 92746 95432 167006 177274 185492 306049 324611 334012 354548 370984 612098 620459 649222 668024 709096 1224196 1240918 1298444 2142343 2448392 2481836 2596888 4284686 4963672 7002323 8569372 14004646 17138744 24177871 28009292 46213399 48355742 49016261 56018584 92426798 96711484 98032522 169245097 179650763 184853596 193422968 196065044 323493793 338490194 359301526 369707192 392130088 646987586 676980388 718603052 1257555341 1293975172 1353960776 1437206104 2515110682 2587950344 3650858521 5030221364 7301717042 10060442728 14192410277 14603434084 25556009647 27127265213 28384820554 29206868168 51112019294 54254530426 56769641108 99346871939 102224038588 108509060852 113539282216 189890856491 198693743878 204448077176 217018121704 379781712982 397387487756 759563425964 794774975512 1519126851928 2143053951827 4286107903654 8572215807308 15001377662789 17144431614616 30002755325578 60005510651156 120011021302312