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12132322101232 = 243141231346489
BaseRepresentation
bin1011000010001100011010…
…1111111100011111110000
31120221211122101110022110121
42300203012233330133300
53042233443424214412
641445302315540024
72361350152221214
oct260430657743760
946854571408417
1012132322101232
11395831a59aa63
12143b3aa15a614
136a00c46a71c8
142dd2c962a944
151608c9a6e107
hexb08c6bfc7f0

12132322101232 has 120 divisors (see below), whose sum is σ = 24950895877760. Its totient is φ = 5708875161600.

The previous prime is 12132322101223. The next prime is 12132322101299. The reversal of 12132322101232 is 23210122323121.

It is a super-3 number, since 3×121323221012323 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12132322101197 and 12132322101206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260948644 + ... + 260995132.

Almost surely, 212132322101232 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 12132322101232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12475447938880).

12132322101232 is an abundant number, since it is smaller than the sum of its proper divisors (12818573776528).

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

12132322101232 is a wasteful number, since it uses less digits than its factorization.

12132322101232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46923 (or 46876 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 12132322101232 its reverse (23210122323121), we get a palindrome (35342444424353).

The spelling of 12132322101232 in words is "twelve trillion, one hundred thirty-two billion, three hundred twenty-two million, one hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 31 41 62 82 124 164 248 313 328 496 626 656 1252 1271 1681 2504 2542 3362 5008 5084 6724 9703 10168 12833 13448 19406 20336 25666 26896 38812 46489 51332 52111 77624 92978 102664 104222 155248 185956 205328 208444 371912 397823 416888 526153 743824 795646 833776 1052306 1441159 1591292 1906049 2104612 2882318 3182584 3812098 4209224 5764636 6365168 7624196 8418448 11529272 14551057 15248392 16310743 23058544 29102114 30496784 32621486 58204228 59087519 65242972 78148009 116408456 118175038 130485944 156296018 232816912 236350076 260971888 312592036 451082767 472700152 596593337 625184072 902165534 945400304 1193186674 1250368144 1804331068 2386373348 2422588279 3608662136 4772746696 4845176558 7217324272 9545493392 9690353116 18494393447 19380706232 24460326817 36988786894 38761412464 48920653634 73977573788 97841307268 147955147576 195682614536 295910295152 391365229072 758270131327 1516540262654 3033080525308 6066161050616 12132322101232