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12012122010020 = 22511217989275929
BaseRepresentation
bin1010111011001100101001…
…0000111111000110100100
31120112100101102210000102112
42232303022100333012210
53033301311213310040
641314143114500152
72346563403261416
oct256631220770644
946470342700375
1012012122010020
1139113487a0400
121420043434658
13691979c03192
142d75658ba9b6
1515c6e2242365
hexaecca43f1a4

12012122010020 has 72 divisors (see below), whose sum is σ = 27728796190200. Its totient is φ = 4367785720320.

The previous prime is 12012122009999. The next prime is 12012122010067. The reversal of 12012122010020 is 2001022121021.

Adding to 12012122010020 its reverse (2001022121021), we get a palindrome (14013144131041).

12012122010020 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 4 ways, for example, as 2054916516004 + 9957205494016 = 1433498^2 + 3155504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12012122009977 and 12012122010004.

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, 43395416 + ... + 43671344.

Almost surely, 212012122010020 is an apocalyptic number.

12012122010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12012122010020 is an abundant number, since it is smaller than the sum of its proper divisors (15716674180180).

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

12012122010020 is a wasteful number, since it uses less digits than its factorization.

12012122010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293949 (or 293936 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The spelling of 12012122010020 in words is "twelve trillion, twelve billion, one hundred twenty-two million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 17989 35978 71956 89945 179890 197879 275929 359780 395758 551858 791516 989395 1103716 1379645 1978790 2176669 2759290 3035219 3957580 4353338 5518580 6070438 8706676 10883345 12140876 15176095 21766690 30352190 33387409 43533380 60704380 66774818 133549636 166937045 333874090 667748180 4963686781 9927373562 19854747124 24818433905 49636867810 54600554591 99273735620 109201109182 218402218364 273002772955 546005545910 600606100501 1092011091820 1201212201002 2402424402004 3003030502505 6006061005010 12012122010020