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120300331122 = 232172331687289
BaseRepresentation
bin111000000001001110…
…1010110000001110010
3102111111221022000100100
41300002131112001302
53432333341043442
6131133141333230
711456103641226
oct1600235260162
9374457260310
10120300331122
1147023445364
121b394407216
13b46249caaa
145b731a4786
1531e152c84c
hex1c02756072

120300331122 has 48 divisors (see below), whose sum is σ = 277167753720. Its totient is φ = 37579278336.

The previous prime is 120300331069. The next prime is 120300331169. The reversal of 120300331122 is 221133003021.

120300331122 is a `hidden beast` number, since 1 + 20 + 300 + 331 + 12 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58995066321 + 61305264801 = 242889^2 + 247599^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120300331095 and 120300331104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772347 + ... + 914942.

Almost surely, 2120300331122 is an apocalyptic number.

120300331122 is an abundant number, since it is smaller than the sum of its proper divisors (156867422598).

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

120300331122 is a wasteful number, since it uses less digits than its factorization.

120300331122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687547 (or 1687544 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120300331122 its reverse (221133003021), we get a palindrome (341433334143).

The spelling of 120300331122 in words is "one hundred twenty billion, three hundred million, three hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 233 306 466 699 1398 2097 3961 4194 7922 11883 23766 35649 71298 1687289 3374578 5061867 10123734 15185601 28683913 30371202 57367826 86051739 172103478 258155217 393138337 516310434 786276674 1179415011 2358830022 3538245033 6683351729 7076490066 13366703458 20050055187 40100110374 60150165561 120300331122