Search a number
-
+
12001110221200 = 245281113699023
BaseRepresentation
bin1010111010100011100111…
…1010010110000110010000
31120111021222000011011222011
42232220321322112012100
53033111233204034300
641305122305552304
72346023461516012
oct256507172260620
946437860134864
1012001110221200
113907707940491
121419a8b645694
1369091370b9c9
142d6bdd21c1b2
1515c29a624eba
hexaea39e96190

12001110221200 has 60 divisors (see below), whose sum is σ = 28836229863168. Its totient is φ = 4799850947200.

The previous prime is 12001110221179. The next prime is 12001110221239. The reversal of 12001110221200 is 212201110021.

It is a super-2 number, since 2×120011102212002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1394889 + ... + 5093911.

Almost surely, 212001110221200 is an apocalyptic number.

12001110221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001110221200 is an abundant number, since it is smaller than the sum of its proper divisors (16835119641968).

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

12001110221200 is a wasteful number, since it uses less digits than its factorization.

12001110221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707152 (or 3707141 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12001110221200 its reverse (212201110021), we get a palindrome (12213311331221).

It can be divided in two parts, 1200 and 1110221200, that added together give a square (1110222400 = 333202).

The spelling of 12001110221200 in words is "twelve trillion, one billion, one hundred ten million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 8111 16222 32444 40555 64888 81110 129776 162220 202775 324440 405550 648880 811100 1622200 3244400 3699023 7398046 14796092 18495115 29592184 36990230 59184368 73980460 92475575 147960920 184951150 295921840 369902300 739804600 1479609200 30002775553 60005551106 120011102212 150013877765 240022204424 300027755530 480044408848 600055511060 750069388825 1200111022120 1500138777650 2400222044240 3000277555300 6000555110600 12001110221200