Search a number
-
+
12221100342204 = 223132231097320239
BaseRepresentation
bin1011000111010111001001…
…0110000011101110111100
31121021022210111101020021120
42301311302112003232330
53100212303141422304
641554143533430540
72400642154633125
oct261656226035674
947238714336246
1012221100342204
113991a375a3446
12145464593b450
136a85a2357040
1430370c17304c
15162d73a130d9
hexb1d72583bbc

12221100342204 has 96 divisors (see below), whose sum is σ = 30875358044160. Its totient is φ = 3740051916288.

The previous prime is 12221100342203. The next prime is 12221100342211. The reversal of 12221100342204 is 40224300112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221100342203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38002317 + ... + 38322555.

It is an arithmetic number, because the mean of its divisors is an integer number (321618312960).

Almost surely, 212221100342204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12221100342204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15437679022080).

12221100342204 is an abundant number, since it is smaller than the sum of its proper divisors (18654257701956).

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

12221100342204 is a wasteful number, since it uses less digits than its factorization.

12221100342204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321579 (or 321577 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12221100342204 its reverse (40224300112221), we get a palindrome (52445400454425).

The spelling of 12221100342204 in words is "twelve trillion, two hundred twenty-one billion, one hundred million, three hundred forty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 223 446 669 892 1097 1338 2194 2676 2899 3291 4388 5798 6582 8697 11596 13164 14261 17394 28522 34788 42783 57044 85566 171132 244631 320239 489262 640478 733893 960717 978524 1280956 1467786 1921434 2935572 3180203 3842868 4163107 6360406 8326214 9540609 12489321 12720812 16652428 19081218 24978642 38162436 49957284 71413297 142826594 214239891 285653188 351302183 428479782 702604366 856959564 928372861 1053906549 1405208732 1856745722 2107813098 2785118583 3713491444 4215626196 4566928379 5570237166 9133856758 11140474332 13700785137 18267713516 27401570274 54803140548 78340386809 156680773618 235021160427 313361547236 470042320854 940084641708 1018425028517 2036850057034 3055275085551 4073700114068 6110550171102 12221100342204