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12352404310020 = 22325413316604033
BaseRepresentation
bin1011001111000000010010…
…1010111100100000000100
31121201212201021221220110200
42303300010222330200010
53104340211000410040
642134341033250500
72413301044144665
oct263600452744004
947655637856420
1012352404310020
113a3269722a925
121475b8b263a30
136b7a99425858
14309c068b336c
151664ab09c630
hexb3c04abc804

12352404310020 has 72 divisors (see below), whose sum is σ = 37478027799576. Its totient is φ = 3293177290752.

The previous prime is 12352404309977. The next prime is 12352404310021. The reversal of 12352404310020 is 2001340425321.

12352404310020 is a `hidden beast` number, since 1 + 235 + 2 + 404 + 3 + 1 + 0 + 0 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3760799161284 + 8591605148736 = 1939278^2 + 2931144^2 .

It is not an unprimeable number, because it can be changed into a prime (12352404310021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7558077 + ... + 9045956.

It is an arithmetic number, because the mean of its divisors is an integer number (520528163883).

Almost surely, 212352404310020 is an apocalyptic number.

12352404310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12352404310020 is an abundant number, since it is smaller than the sum of its proper divisors (25125623489556).

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

12352404310020 is a wasteful number, since it uses less digits than its factorization.

12352404310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16608181 (or 16608176 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12352404310020 its reverse (2001340425321), we get a palindrome (14353744735341).

The spelling of 12352404310020 in words is "twelve trillion, three hundred fifty-two billion, four hundred four million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4133 8266 12399 16532 20665 24798 37197 41330 49596 61995 74394 82660 123990 148788 185985 247980 371970 743940 16604033 33208066 49812099 66416132 83020165 99624198 149436297 166040330 199248396 249060495 298872594 332080660 498120990 597745188 747181485 996241980 1494362970 2988725940 68624468389 137248936778 205873405167 274497873556 343122341945 411746810334 617620215501 686244683890 823493620668 1029367025835 1235240431002 1372489367780 2058734051670 2470480862004 3088101077505 4117468103340 6176202155010 12352404310020