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14124012120 = 2334512293547
BaseRepresentation
bin11010010011101101…
…10101001001011000
31100110022211011020000
431021312311021120
5212411221341440
610253302333000
71010002056621
oct151166651130
940408734200
1014124012120
115a98700399
1228a212a160
13144120c02a
1497db58a48
15579e7c730
hex349db5258

14124012120 has 160 divisors (see below), whose sum is σ = 47524395600. Its totient is φ = 3762277632.

The previous prime is 14124012113. The next prime is 14124012167. The reversal of 14124012120 is 2121042141.

14124012120 is a `hidden beast` number, since 1 + 412 + 40 + 1 + 212 + 0 = 666.

14124012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14124012093 and 14124012102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3980187 + ... + 3983733.

Almost surely, 214124012120 is an apocalyptic number.

14124012120 is a gapful number since it is divisible by the number (10) 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 14124012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23762197800).

14124012120 is an abundant number, since it is smaller than the sum of its proper divisors (33400383480).

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

14124012120 is a wasteful number, since it uses less digits than its factorization.

14124012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4799 (or 4786 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14124012120 its reverse (2121042141), we get a palindrome (16245054261).

The spelling of 14124012120 in words is "fourteen billion, one hundred twenty-four million, twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1229 1620 2458 3240 3547 3687 4916 6145 7094 7374 9832 10641 11061 12290 14188 14748 17735 18435 21282 22122 24580 28376 29496 31923 33183 35470 36870 42564 44244 49160 53205 55305 63846 66366 70940 73740 85128 88488 95769 99549 106410 110610 127692 132732 141880 147480 159615 165915 191538 199098 212820 221220 255384 265464 287307 319230 331830 383076 398196 425640 442440 478845 497745 574614 638460 663660 766152 796392 957690 995490 1149228 1276920 1327320 1436535 1915380 1990980 2298456 2873070 3830760 3981960 4359263 5746140 8718526 11492280 13077789 17437052 21796315 26155578 34874104 39233367 43592630 52311156 65388945 78466734 87185260 104622312 117700101 130777890 156933468 174370520 196166835 235400202 261555780 313866936 353100303 392333670 470800404 523111560 588500505 706200606 784667340 941600808 1177001010 1412401212 1569334680 1765501515 2354002020 2824802424 3531003030 4708004040 7062006060 14124012120