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120120112112 = 247111341182927
BaseRepresentation
bin110111111011110110…
…1110111001111110000
3102111001101011221100012
41233313231313033300
53432001222041422
6131103222514052
711451455051330
oct1576755671760
9374041157305
10120120112112
1146a40743130
121b343b95928
13b434050320
145b572910c0
1531d07ce4e2
hex1bf7b773f0

120120112112 has 160 divisors (see below), whose sum is σ = 320103512064. Its totient is φ = 42146150400.

The previous prime is 120120112103. The next prime is 120120112121. The reversal of 120120112112 is 211211021021.

It is an interprime number because it is at equal distance from previous prime (120120112103) and next prime (120120112121).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 565193 + ... + 748119.

Almost surely, 2120120112112 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 120120112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160051756032).

120120112112 is an abundant number, since it is smaller than the sum of its proper divisors (199983399952).

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

120120112112 is a wasteful number, since it uses less digits than its factorization.

120120112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183007 (or 183001 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120120112112 its reverse (211211021021), we get a palindrome (331331133133).

It can be divided in two parts, 120120 and 112112, that added together give a palindrome (232232).

The spelling of 120120112112 in words is "one hundred twenty billion, one hundred twenty million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 41 44 52 56 77 82 88 91 104 112 143 154 164 176 182 208 286 287 308 328 364 451 533 572 574 616 656 728 902 1001 1066 1144 1148 1232 1456 1804 2002 2132 2288 2296 3157 3608 3731 4004 4264 4592 5863 6314 7216 7462 8008 8528 11726 12628 14924 16016 23452 25256 29848 41041 46904 50512 59696 82082 93808 164164 182927 328328 365854 656656 731708 1280489 1463416 2012197 2378051 2560978 2926832 4024394 4756102 5121956 7500007 8048788 9512204 10243912 14085379 15000014 16097576 16646357 19024408 20487824 26158561 28170758 30000028 32195152 33292714 38048816 52317122 52500049 56341516 60000056 66585428 82500077 97500091 104634244 105000098 112683032 120000112 133170856 165000154 183109927 195000182 209268488 210000196 225366064 266341712 330000308 366219854 390000364 418536976 420000392 577500539 660000616 682500637 732439708 780000728 840000784 1072501001 1155001078 1320001232 1365001274 1464879416 1560001456 2145002002 2310002156 2730002548 2929758832 4290004004 4620004312 5460005096 7507507007 8580008008 9240008624 10920010192 15015014014 17160016016 30030028028 60060056056 120120112112