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1221022212 = 2231747347367
BaseRepresentation
bin100100011000111…
…0101001000000100
310011002120100120220
41020301311020010
510000040202322
6321054424340
742154342344
oct11061651004
93132510526
101221022212
11577265073
122a0b020b0
13165c74c67
14b8242d24
15722de55c
hex48c75204

1221022212 has 96 divisors (see below), whose sum is σ = 3098124288. Its totient is φ = 372816384.

The previous prime is 1221022193. The next prime is 1221022223. The reversal of 1221022212 is 2122201221.

It is a junction number, because it is equal to n+sod(n) for n = 1221022191 and 1221022200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3326853 + ... + 3327219.

It is an arithmetic number, because the mean of its divisors is an integer number (32272128).

Almost surely, 21221022212 is an apocalyptic number.

1221022212 is a gapful number since it is divisible by the number (12) 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 1221022212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549062144).

1221022212 is an abundant number, since it is smaller than the sum of its proper divisors (1877102076).

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

1221022212 is a wasteful number, since it uses less digits than its factorization.

1221022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1221022212 is about 34943.1282514889. The cubic root of 1221022212 is about 1068.8280796005.

Adding to 1221022212 its reverse (2122201221), we get a palindrome (3343223433).

The spelling of 1221022212 in words is "one billion, two hundred twenty-one million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 282 347 367 564 694 734 799 1041 1101 1388 1468 1598 2082 2202 2397 3196 4164 4404 4794 5899 6239 9588 11798 12478 16309 17249 17697 18717 23596 24956 32618 34498 35394 37434 48927 51747 65236 68996 70788 74868 97854 103494 127349 195708 206988 254698 277253 293233 382047 509396 554506 586466 764094 831759 879699 1109012 1172932 1528188 1663518 1759398 2164933 3327036 3518796 4329866 5985403 6494799 8659732 11970806 12989598 17956209 23941612 25979196 35912418 71824836 101751851 203503702 305255553 407007404 610511106 1221022212