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12171432420 = 22325721379981
BaseRepresentation
bin10110101010111100…
…10101000111100100
31011102020200211102100
423111132111013210
5144411341314140
65331432012100
7610422316500
oct132536250744
934366624370
1012171432420
115186502364
122438231030
1311bc828b24
148366c5300
154b3835530
hex2d57951e4

12171432420 has 108 divisors (see below), whose sum is σ = 42947799804. Its totient is φ = 2782039680.

The previous prime is 12171432401. The next prime is 12171432439. The reversal of 12171432420 is 2423417121.

12171432420 is a `hidden beast` number, since 121 + 71 + 432 + 42 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12171432401) and next prime (12171432439).

It can be written as a sum of positive squares in 2 ways, for example, as 2578405284 + 9593027136 = 50778^2 + 97944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 681171 + ... + 698810.

It is an arithmetic number, because the mean of its divisors is an integer number (397664813).

Almost surely, 212171432420 is an apocalyptic number.

12171432420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12171432420 is an abundant number, since it is smaller than the sum of its proper divisors (30776367384).

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

12171432420 is a wasteful number, since it uses less digits than its factorization.

12171432420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380010 (or 1379998 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 12171432420 its reverse (2423417121), we get a palindrome (14594849541).

The spelling of 12171432420 in words is "twelve billion, one hundred seventy-one million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 1379981 2759962 4139943 5519924 6899905 8279886 9659867 12419829 13799810 16559772 19319734 20699715 24839658 27599620 28979601 38639468 41399430 48299335 49679316 57959202 62099145 67619069 82798860 86938803 96598670 115918404 124198290 135238138 144898005 173877606 193197340 202857207 248396580 270476276 289796010 338095345 347755212 405714414 434694015 579592020 608571621 676190690 811428828 869388030 1014286035 1217143242 1352381380 1738776060 2028572070 2434286484 3042858105 4057144140 6085716210 12171432420