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12013022201232 = 24313711571727069
BaseRepresentation
bin1010111011001111111111…
…1010111100010110010000
31120112102201011122110121210
42232303333322330112100
53033310132140414412
641314412313020120
72346624613624533
oct256637772742620
946472634573553
1012013022201232
11391176a943388
1214202549b4640
13691a915658c0
142d760d286a1a
1515c7462aa83c
hexaecffebc590

12013022201232 has 160 divisors (see below), whose sum is σ = 34107449483520. Its totient is φ = 3621039851520.

The previous prime is 12013022201203. The next prime is 12013022201287. The reversal of 12013022201232 is 23210222031021.

It is a junction number, because it is equal to n+sod(n) for n = 12013022201199 and 12013022201208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6092194 + ... + 7819262.

It is an arithmetic number, because the mean of its divisors is an integer number (213171559272).

Almost surely, 212013022201232 is an apocalyptic number.

12013022201232 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 12013022201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17053724741760).

12013022201232 is an abundant number, since it is smaller than the sum of its proper divisors (22094427282288).

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

12013022201232 is a wasteful number, since it uses less digits than its factorization.

12013022201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727321 (or 1727315 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12013022201232 its reverse (23210222031021), we get a palindrome (35223244232253).

The spelling of 12013022201232 in words is "twelve trillion, thirteen billion, twenty-two million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 71 78 104 142 156 157 208 213 284 312 314 426 471 568 624 628 852 923 942 1136 1256 1704 1846 1884 2041 2512 2769 3408 3692 3768 4082 5538 6123 7384 7536 8164 11076 11147 12246 14768 16328 22152 22294 24492 32656 33441 44304 44588 48984 66882 89176 97968 133764 144911 178352 267528 289822 434733 535056 579644 869466 1159288 1727069 1738932 2318576 3454138 3477864 5181207 6908276 6955728 10362414 13816552 20724828 22451897 27633104 41449656 44903794 67355691 82899312 89807588 122621899 134711382 179615176 245243798 269422764 271149833 359230352 367865697 490487596 538845528 542299666 735731394 813449499 980975192 1077691056 1084599332 1471462788 1594084687 1626898998 1961950384 2169198664 2942925576 3188169374 3253797996 3524947829 4338397328 4782254061 5885851152 6376338748 6507595992 7049895658 9564508122 10574843487 12752677496 13015191984 14099791316 19129016244 19251638143 21149686974 25505354992 28199582632 38258032488 38503276286 42299373948 56399165264 57754914429 76516064976 77006552572 84598747896 115509828858 154013105144 169197495792 231019657716 250271295859 308026210288 462039315432 500542591718 750813887577 924078630864 1001085183436 1501627775154 2002170366872 3003255550308 4004340733744 6006511100616 12013022201232