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12221210210220 = 22325116172328389
BaseRepresentation
bin1011000111010111100011…
…1001001010111110101100
31121021100002011010002212100
42301311320321022332230
53100213014303211340
641554202500335100
72400644660535054
oct261657071127654
947240064102770
1012221210210220
113991a93614960
1214546766a4490
136a85bc0442bb
1430371c9b2564
15162d7d4b6830
hexb1d78e4afac

12221210210220 has 72 divisors (see below), whose sum is σ = 40441095611280. Its totient is φ = 2962717626240.

The previous prime is 12221210210179. The next prime is 12221210210221. The reversal of 12221210210220 is 2201201212221.

It is a happy number.

12221210210220 is a `hidden beast` number, since 1 + 2 + 2 + 21 + 210 + 210 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12221210210193 and 12221210210202.

It is not an unprimeable number, because it can be changed into a prime (12221210210221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3086162215 + ... + 3086166174.

It is an arithmetic number, because the mean of its divisors is an integer number (561681883490).

Almost surely, 212221210210220 is an apocalyptic number.

12221210210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12221210210220 is an abundant number, since it is smaller than the sum of its proper divisors (28219885401060).

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

12221210210220 is a wasteful number, since it uses less digits than its factorization.

12221210210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172328415 (or 6172328410 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12221210210220 its reverse (2201201212221), we get a palindrome (14422411422441).

The spelling of 12221210210220 in words is "twelve trillion, two hundred twenty-one billion, two hundred ten million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 6172328389 12344656778 18516985167 24689313556 30861641945 37033970334 55550955501 61723283890 67895612279 74067940668 92584925835 111101911002 123446567780 135791224558 185169851670 203686836837 222203822004 271582449116 277754777505 339478061395 370339703340 407373673674 555509555010 611060510511 678956122790 814747347348 1018434184185 1111019110020 1222121021022 1357912245580 2036868368370 2444242042044 3055302552555 4073736736740 6110605105110 12221210210220