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12022210021100 = 22521632233307439
BaseRepresentation
bin1010111011110010001110…
…0011101100011011101100
31120120022102111011002001112
42232330203203230123230
53033432441231133400
641322532123531152
72350401400043426
oct256744343543354
946508374132045
1012022210021100
113915655158444
121421b99989ab8
136928c6bc71c6
142d7c415cd816
1515cad2bd7835
hexaef238ec6ec

12022210021100 has 72 divisors (see below), whose sum is σ = 26365959137280. Its totient is φ = 4757948009280.

The previous prime is 12022210021079. The next prime is 12022210021147. The reversal of 12022210021100 is 112001222021.

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, 1981181 + ... + 5288619.

Almost surely, 212022210021100 is an apocalyptic number.

12022210021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12022210021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13182979568640).

12022210021100 is an abundant number, since it is smaller than the sum of its proper divisors (14343749116180).

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

12022210021100 is a wasteful number, since it uses less digits than its factorization.

12022210021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307839 (or 3307832 counting only the distinct ones).

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

Adding to 12022210021100 its reverse (112001222021), we get a palindrome (12134211243121).

The spelling of 12022210021100 in words is "twelve trillion, twenty-two billion, two hundred ten million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 223 326 446 652 815 892 1115 1630 2230 3260 4075 4460 5575 8150 11150 16300 22300 36349 72698 145396 181745 363490 726980 908725 1817450 3307439 3634900 6614878 13229756 16537195 33074390 66148780 82685975 165371950 330743900 539112557 737558897 1078225114 1475117794 2156450228 2695562785 2950235588 3687794485 5391125570 7375588970 10782251140 13477813925 14751177940 18438972425 26955627850 36877944850 53911255700 73755889700 120222100211 240444200422 480888400844 601110501055 1202221002110 2404442004220 3005552505275 6011105010550 12022210021100