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12303301122 = 2327224157881
BaseRepresentation
bin10110111010101010…
…10111101000000010
31011202102211110021100
423131111113220002
5200144121113442
65352502235230
7613613222400
oct133525275002
934672743240
1012303301122
115243990262
122474425b16
131210c4a048
1484a010470
154c01d284c
hex2dd557a02

12303301122 has 72 divisors (see below), whose sum is σ = 31138548012. Its totient is φ = 3500582400.

The previous prime is 12303301117. The next prime is 12303301147. The reversal of 12303301122 is 22110330321.

12303301122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11929226841 + 374074281 = 109221^2 + 19341^2 .

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 = 12303301095 and 12303301104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183622 + ... + 241502.

Almost surely, 212303301122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12303301122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15569274006).

12303301122 is an abundant number, since it is smaller than the sum of its proper divisors (18835246890).

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

12303301122 is a wasteful number, since it uses less digits than its factorization.

12303301122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58144 (or 58134 counting only the distinct ones).

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

Adding to 12303301122 its reverse (22110330321), we get a palindrome (34413631443).

The spelling of 12303301122 in words is "twelve billion, three hundred three million, three hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 241 294 441 482 723 882 1446 1687 2169 3374 4338 5061 10122 11809 15183 23618 30366 35427 57881 70854 106281 115762 173643 212562 347286 405167 520929 810334 1041858 1215501 2431002 2836169 3646503 5672338 7293006 8508507 13949321 17017014 25525521 27898642 41847963 51051042 83695926 97645247 125543889 195290494 251087778 292935741 585871482 683516729 878807223 1367033458 1757614446 2050550187 4101100374 6151650561 12303301122