Search a number
-
+
12211212201320 = 2351147590484149
BaseRepresentation
bin1011000110110010010011…
…1101110010110101101000
31121020101021101002122000102
42301230210331302311220
53100032030310420240
641545430424324532
72400142136055056
oct261544475626550
947211241078012
1012211212201320
113988822a3a890
121452746313748
136a76878a31c2
14303050c0b1d6
1516299589d815
hexb1b24f72d68

12211212201320 has 64 divisors (see below), whose sum is σ = 30610698336000. Its totient is φ = 4345963329280.

The previous prime is 12211212201311. The next prime is 12211212201337. The reversal of 12211212201320 is 2310221211221.

It is a super-2 number, since 2×122112122013202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12211212201292 and 12211212201301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295221395 + ... + 295262754.

It is an arithmetic number, because the mean of its divisors is an integer number (478292161500).

Almost surely, 212211212201320 is an apocalyptic number.

12211212201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211212201320 is an abundant number, since it is smaller than the sum of its proper divisors (18399486134680).

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

12211212201320 is a wasteful number, since it uses less digits than its factorization.

12211212201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590484218 (or 590484214 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12211212201320 its reverse (2310221211221), we get a palindrome (14521433412541).

Subtracting from 12211212201320 its reverse (2310221211221), we obtain a palindrome (9900990990099).

The spelling of 12211212201320 in words is "twelve trillion, two hundred eleven billion, two hundred twelve million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 47 55 88 94 110 188 220 235 376 440 470 517 940 1034 1880 2068 2585 4136 5170 10340 20680 590484149 1180968298 2361936596 2952420745 4723873192 5904841490 6495325639 11809682980 12990651278 23619365960 25981302556 27752755003 32476628195 51962605112 55505510006 64953256390 111011020012 129906512780 138763775015 222022040024 259813025560 277527550030 305280305033 555055100060 610560610066 1110110200120 1221121220132 1526401525165 2442242440264 3052803050330 6105606100660 12211212201320