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120102110112 = 25337103328277
BaseRepresentation
bin110111111011010100…
…1001100001110100000
3102111000010022100020110
41233312221030032200
53431432120010422
6131101341011320
711451146043345
oct1576651141640
9374003270213
10120102110112
1146a31567a46
121b339b53b40
13b4303b945a
145b54b267cc
1531cde2560c
hex1bf6a4c3a0

120102110112 has 96 divisors (see below), whose sum is σ = 326933373312. Its totient is φ = 38573743104.

The previous prime is 120102110083. The next prime is 120102110123. The reversal of 120102110112 is 211011201021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201718 + ... + 529994.

It is an arithmetic number, because the mean of its divisors is an integer number (3405555972).

Almost surely, 2120102110112 is an apocalyptic number.

120102110112 is a gapful number since it is divisible by the number (12) 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 120102110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163466686656).

120102110112 is an abundant number, since it is smaller than the sum of its proper divisors (206831263200).

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

120102110112 is a wasteful number, since it uses less digits than its factorization.

120102110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328430 (or 328422 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120102110112 its reverse (211011201021), we get a palindrome (331113311133).

Subtracting 120102110112 from its reverse (211011201021), we obtain a palindrome (90909090909).

The spelling of 120102110112 in words is "one hundred twenty billion, one hundred two million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 103 111 148 206 222 296 309 412 444 592 618 824 888 1184 1236 1648 1776 2472 3296 3552 3811 4944 7622 9888 11433 15244 22866 30488 45732 60976 91464 121952 182928 328277 365856 656554 984831 1313108 1969662 2626216 3939324 5252432 7878648 10504864 12146249 15757296 24292498 31514592 33812531 36438747 48584996 67625062 72877494 97169992 101437593 135250124 145754988 194339984 202875186 270500248 291509976 388679968 405750372 541000496 583019952 811500744 1082000992 1166039904 1251063647 1623001488 2502127294 3246002976 3753190941 5004254588 7506381882 10008509176 15012763764 20017018352 30025527528 40034036704 60051055056 120102110112