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12300122528 = 252337451679
BaseRepresentation
bin10110111010010010…
…01111100110100000
31011202012211222001122
423131021033212200
5200142312410103
65352310151412
7613544213351
oct133511174640
934665758048
1012300122528
11524210a121
122473352568
1312103a6315
14849823d28
154beca5b38
hex2dd24f9a0

12300122528 has 48 divisors (see below), whose sum is σ = 25951726080. Its totient is φ = 5723663616.

The previous prime is 12300122509. The next prime is 12300122561. The reversal of 12300122528 is 82522100321.

12300122528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123001225282 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12300122497 and 12300122506.

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 7 ways as a sum of consecutive naturals, for example, 198608 + ... + 253071.

It is an arithmetic number, because the mean of its divisors is an integer number (540660960).

Almost surely, 212300122528 is an apocalyptic number.

It is an amenable number.

12300122528 is an abundant number, since it is smaller than the sum of its proper divisors (13651603552).

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

12300122528 is a wasteful number, since it uses less digits than its factorization.

12300122528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451749 (or 451741 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 12300122528 its reverse (82522100321), we get a palindrome (94822222849).

The spelling of 12300122528 in words is "twelve billion, three hundred million, one hundred twenty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 23 32 37 46 74 92 148 184 296 368 592 736 851 1184 1702 3404 6808 13616 27232 451679 903358 1806716 3613432 7226864 10388617 14453728 16712123 20777234 33424246 41554468 66848492 83108936 133696984 166217872 267393968 332435744 384378829 534787936 768757658 1537515316 3075030632 6150061264 12300122528