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120102301312 = 2771137571567
BaseRepresentation
bin110111111011010100…
…1111010111010000000
3102111000010200001111221
41233312221322322000
53431432142120222
6131101345044424
711451150500650
oct1576651727200
9374003601457
10120102301312
1146a31688664
121b33a026714
13b4304554a6
145b54b76360
1531cde620c7
hex1bf6a7ae80

120102301312 has 128 divisors (see below), whose sum is σ = 276407792640. Its totient is φ = 50916999168.

The previous prime is 120102301229. The next prime is 120102301453. The reversal of 120102301312 is 213103201021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76643953 + ... + 76645519.

It is an arithmetic number, because the mean of its divisors is an integer number (2159435880).

Almost surely, 2120102301312 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 120102301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138203896320).

120102301312 is an abundant number, since it is smaller than the sum of its proper divisors (156305491328).

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

120102301312 is a wasteful number, since it uses less digits than its factorization.

120102301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 120102301312 its reverse (213103201021), we get a palindrome (333205502333).

The spelling of 120102301312 in words is "one hundred twenty billion, one hundred two million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 128 224 226 448 452 757 791 896 904 1514 1567 1582 1808 3028 3134 3164 3616 5299 6056 6268 6328 7232 10598 10969 12112 12536 12656 14464 21196 21938 24224 25072 25312 42392 43876 48448 50144 50624 84784 85541 87752 96896 100288 101248 169568 171082 175504 177071 200576 339136 342164 351008 354142 598787 678272 684328 702016 708284 1186219 1197574 1239497 1368656 1404032 1416568 2372438 2395148 2478994 2737312 2833136 4744876 4790296 4957988 5474624 5666272 8303533 9489752 9580592 9915976 10949248 11332544 16607066 18979504 19161184 19831952 22665088 33214132 37959008 38322368 39663904 66428264 75918016 76644736 79327808 132856528 134042747 151836032 158655616 265713056 268085494 531426112 536170988 938299229 1062852224 1072341976 1876598458 2144683952 3753196916 4289367904 7506393832 8578735808 15012787664 17157471616 30025575328 60051150656 120102301312