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12141432110220 = 22357232213128201
BaseRepresentation
bin1011000010101110010110…
…1111110111110010001100
31120222201011021112201102220
42300223211233313302030
53042411123110011340
641453410311015340
72362122002062200
oct260534557676214
946881137481386
1012141432110220
113961174999606
12144111106a550
136a0c16b9397a
142dd9114bab00
15160c5e72aed0
hexb0ae5bf7c8c

12141432110220 has 144 divisors (see below), whose sum is σ = 39547915007328. Its totient is φ = 2775076684800.

The previous prime is 12141432110201. The next prime is 12141432110239. The reversal of 12141432110220 is 2201123414121.

It is an interprime number because it is at equal distance from previous prime (12141432110201) and next prime (12141432110239).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94642120 + ... + 94770320.

It is an arithmetic number, because the mean of its divisors is an integer number (274638298662).

Almost surely, 212141432110220 is an apocalyptic number.

12141432110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141432110220 is an abundant number, since it is smaller than the sum of its proper divisors (27406482897108).

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

12141432110220 is a wasteful number, since it uses less digits than its factorization.

12141432110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160440 (or 160431 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12141432110220 its reverse (2201123414121), we get a palindrome (14342555524341).

The spelling of 12141432110220 in words is "twelve trillion, one hundred forty-one billion, four hundred thirty-two million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 32213 64426 96639 128201 128852 161065 193278 225491 256402 322130 384603 386556 450982 483195 512804 641005 644260 676473 769206 897407 901964 966390 1127455 1282010 1352946 1538412 1578437 1794814 1923015 1932780 2254910 2564020 2692221 2705892 3156874 3382365 3589628 3846030 4487035 4509820 4735311 5384442 6281849 6313748 6764730 7692060 7892185 8974070 9470622 10768884 12563698 13461105 13529460 15784370 17948140 18845547 18941244 23676555 25127396 26922210 31409245 31568740 37691094 47353110 53844420 62818490 75382188 94227735 94706220 125636980 188455470 376910940 4129738813 8259477626 12389216439 16518955252 20648694065 24778432878 28908171691 41297388130 49556865756 57816343382 61946082195 82594776260 86724515073 115632686764 123892164390 144540858455 173449030146 202357201837 247784328780 289081716910 346898060292 404714403674 433622575365 578163433820 607071605511 809428807348 867245150730 1011786009185 1214143211022 1734490301460 2023572018370 2428286422044 3035358027555 4047144036740 6070716055110 12141432110220