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12023311010020 = 22529191811080749
BaseRepresentation
bin1010111011110110010100…
…1011101000100011100100
31120120102021012212002220221
42232331211023220203210
53033442220104310040
641323233253534124
72350440566225602
oct256754513504344
946512235762827
1012023311010020
11391606a688742
121422246644344
13692a4103303b
142d7d07908872
1515cb496b674a
hexaef652e88e4

12023311010020 has 48 divisors (see below), whose sum is σ = 26120992590000. Its totient is φ = 4643239247360.

The previous prime is 12023311009999. The next prime is 12023311010047. The reversal of 12023311010020 is 2001011332021.

It can be written as a sum of positive squares in 8 ways, for example, as 725685904384 + 11297625105636 = 851872^2 + 3361194^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12023311009976 and 12023311010003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10584606 + ... + 11665354.

It is an arithmetic number, because the mean of its divisors is an integer number (544187345625).

Almost surely, 212023311010020 is an apocalyptic number.

12023311010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12023311010020 is an abundant number, since it is smaller than the sum of its proper divisors (14097681579980).

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

12023311010020 is a wasteful number, since it uses less digits than its factorization.

12023311010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099968 (or 1099966 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12023311010020 its reverse (2001011332021), we get a palindrome (14024322342041).

The spelling of 12023311010020 in words is "twelve trillion, twenty-three billion, three hundred eleven million, ten thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 19181 38362 76724 95905 191810 383620 556249 1080749 1112498 2161498 2224996 2781245 4322996 5403745 5562490 10807490 11124980 21614980 31341721 62683442 125366884 156708605 313417210 626834420 20729846569 41459693138 82919386276 103649232845 207298465690 414596931380 601165550501 1202331101002 2404662202004 3005827752505 6011655505010 12023311010020