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120118921104 = 243713101926987
BaseRepresentation
bin110111111011110100…
…1010100011110010000
3102111001021221102120210
41233313221110132100
53432000420433404
6131103141204120
711451441661110
oct1576751243620
9374037842523
10120118921104
1146a3aaaa326
121b343700640
13b433a241a0
145b57061040
1531d0646689
hex1bf7a54790

120118921104 has 160 divisors (see below), whose sum is σ = 382305530880. Its totient is φ = 31647453696.

The previous prime is 120118921081. The next prime is 120118921133. The reversal of 120118921104 is 401129811021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4437499 + ... + 4464485.

It is an arithmetic number, because the mean of its divisors is an integer number (2389409568).

Almost surely, 2120118921104 is an apocalyptic number.

120118921104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120118921104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191152765440).

120118921104 is an abundant number, since it is smaller than the sum of its proper divisors (262186609776).

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

120118921104 is a wasteful number, since it uses less digits than its factorization.

120118921104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28037 (or 28031 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The spelling of 120118921104 in words is "one hundred twenty billion, one hundred eighteen million, nine hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1019 1092 1456 2038 2184 3057 4076 4368 6114 7133 8152 12228 13247 14266 16304 21399 24456 26494 26987 28532 39741 42798 48912 52988 53974 57064 79482 80961 85596 92729 105976 107948 114128 158964 161922 171192 185458 188909 211952 215896 278187 317928 323844 342384 350831 370916 377818 431792 556374 566727 635856 647688 701662 741832 755636 1052493 1112748 1133454 1295376 1403324 1483664 1511272 2104986 2225496 2266908 2455817 2806648 3022544 4209972 4450992 4533816 4911634 5613296 7367451 8419944 9067632 9823268 14734902 16839888 19646536 27499753 29469804 39293072 54999506 58939608 82499259 109999012 117879216 164998518 192498271 219998024 329997036 357496789 384996542 439996048 577494813 659994072 714993578 769993084 1072490367 1154989626 1319988144 1429987156 1539986168 2144980734 2309979252 2502477523 2859974312 3079972336 4289961468 4619958504 5004955046 5719948624 7507432569 8579922936 9239917008 10009910092 15014865138 17159845872 20019820184 30029730276 40039640368 60059460552 120118921104