Search a number
-
+
12200002010220 = 22353718803292267
BaseRepresentation
bin1011000110001000100011…
…0010010011110001101100
31121012022100010010220210110
42301202020302103301230
53044341101003311340
641540334211140020
72366264265031143
oct261421062236154
947168303126713
1012200002010220
113983aa0099342
121450537ba4610
136a65bc263a2b
143026aa06475a
1516253b640680
hexb1888c93c6c

12200002010220 has 96 divisors (see below), whose sum is σ = 35085234901248. Its totient is φ = 3165226751232.

The previous prime is 12200002010213. The next prime is 12200002010227. The reversal of 12200002010220 is 2201020000221.

It is an interprime number because it is at equal distance from previous prime (12200002010213) and next prime (12200002010227).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 12200002010196 and 12200002010205.

It is not an unprimeable number, because it can be changed into a prime (12200002010227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41596527 + ... + 41888793.

It is an arithmetic number, because the mean of its divisors is an integer number (365471196888).

Almost surely, 212200002010220 is an apocalyptic number.

12200002010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200002010220 is an abundant number, since it is smaller than the sum of its proper divisors (22885232891028).

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

12200002010220 is a wasteful number, since it uses less digits than its factorization.

12200002010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311119 (or 311117 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 12200002010220 its reverse (2201020000221), we get a palindrome (14401022010441).

The spelling of 12200002010220 in words is "twelve trillion, two hundred billion, two million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 18803 37606 56409 75212 94015 112818 188030 225636 282045 292267 376060 564090 584534 695711 876801 1128180 1169068 1391422 1461335 1753602 2087133 2782844 2922670 3478555 3507204 4174266 4384005 5845340 6957110 8348532 8768010 10435665 10813879 13914220 17536020 20871330 21627758 32441637 41742660 43255516 54069395 64883274 108138790 129766548 162208185 216277580 324416370 648832740 5495496401 10990992802 16486489203 21981985604 27477482005 32972978406 54954964010 65945956812 82432446015 109909928020 164864892030 203333366837 329729784060 406666733674 610000100511 813333467348 1016666834185 1220000201022 2033333668370 2440000402044 3050000502555 4066667336740 6100001005110 12200002010220