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12213140214 = 23112997157419
BaseRepresentation
bin10110101111111010…
…11011101011110110
31011112011011210202110
423113331123223312
5200003030441324
65335521551450
7611436656532
oct132775335366
934464153673
1012213140214
1151a7aaa010
12244a1a5586
1311c836cab2
1483c060bc2
154b7323329
hex2d7f5baf6

12213140214 has 128 divisors (see below), whose sum is σ = 28094169600. Its totient is φ = 3505582080.

The previous prime is 12213140129. The next prime is 12213140237. The reversal of 12213140214 is 41204131221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29148097 + ... + 29148515.

It is an arithmetic number, because the mean of its divisors is an integer number (219485700).

Almost surely, 212213140214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12213140214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14047084800).

12213140214 is an abundant number, since it is smaller than the sum of its proper divisors (15881029386).

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

12213140214 is a wasteful number, since it uses less digits than its factorization.

12213140214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12213140214 its reverse (41204131221), we get a palindrome (53417271435).

The spelling of 12213140214 in words is "twelve billion, two hundred thirteen million, one hundred forty thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 97 157 174 194 291 314 319 419 471 582 638 838 942 957 1067 1257 1727 1914 2134 2514 2813 3201 3454 4553 4609 5181 5626 6402 8439 9106 9218 10362 12151 13659 13827 15229 16878 24302 27318 27654 30458 30943 36453 40643 45687 50083 61886 65783 72906 81286 91374 92829 100166 121929 131566 133661 150249 167519 185658 197349 243858 267322 300498 335038 394698 400983 441641 447073 502557 723613 801966 883282 894146 1005114 1178647 1324923 1341219 1447226 1907707 2170839 2357294 2649846 2682438 3535941 3815414 4341678 4858051 5723121 6380951 7071882 9716102 11446242 12761902 12965117 14574153 19142853 20984777 25930234 29148306 38285706 38895351 41969554 62954331 70190461 77790702 125908662 140380922 185047579 210571383 370095158 421142766 555142737 1110285474 2035523369 4071046738 6106570107 12213140214